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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS113+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W06a058mTv true

% Computer : n002.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 04:40:37 PM UTC 2025

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   82 (   6 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  206 (  40   ~;  35   |;   6   &; 117   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :   48 (   0   ^;  44   !;   4   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ca_Vx2_type,type,
    ca_Vx2: $i > $o ).

thf(cpxcomp_type,type,
    cpxcomp: $i > $o ).

thf(rs_type,type,
    rs: $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(cUnsatisfiable_type,type,
    cUnsatisfiable: $i > $o ).

thf(ra_Px1_type,type,
    ra_Px1: $i > $i > $o ).

thf(rr_type,type,
    rr: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(rinvS_type,type,
    rinvS: $i > $i > $o ).

thf(i2003_11_14_17_21_22376_type,type,
    i2003_11_14_17_21_22376: $i ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(cp_type,type,
    cp: $i > $o ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ! [Y0: $i,Y1: $i] :
            ( ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 ) )
           => ( Y0 = Y1 ) )
        & ? [Y: $i] :
            ( ( ca_Vx2 @ Y )
            & ( rr @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp @ Y )
            & ( rs @ X @ Y ) )
        & ( cpxcomp @ X ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_8,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rr @ X @ Y ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( rr @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rr @ X0 @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl39]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rr @ X2 @ X0 )
      | ~ ( rr @ X2 @ X1 )
      | ~ ( cUnsatisfiable @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl20]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl47]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_6,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvS @ X @ Y )
    <=> ( rs @ Y @ X ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvS @ X0 @ X1 )
      | ~ ( rs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( ca_Vx2 @ X )
    <=> ! [Y: $i] :
          ( ( rinvS @ X @ Y )
         => ( cp @ Y ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvS @ X0 @ X1 )
      | ( cp @ X1 )
      | ~ ( ca_Vx2 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X0 @ X1 )
      | ( cp @ X0 )
      | ~ ( ca_Vx2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl33]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X0 )
      | ~ ( ca_Vx2 @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl43]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X0 )
      | ~ ( ca_Vx2 @ ( sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl51]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ~ ( ca_Vx2 @ ( sk__2 @ X0 ) )
      | ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ca_Vx2 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl22]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cpxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( cpxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ~ ( cpxcomp @ X0 )
      | ~ ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl29]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( cpxcomp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ~ ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl25]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl80,zip_derived_cl57]) ).

thf(axiom_7,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_22376 ).

thf(zip_derived_cl38,plain,
    cUnsatisfiable @ i2003_11_14_17_21_22376,
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl84,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS113+1 : TPTP v9.2.0. Released v3.1.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W06a058mTv true
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 11:53:53 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % 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
% 0.14/0.35  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.77  % Solved by fo/fo1_av.sh.
% 0.57/0.77  % done 51 iterations in 0.018s
% 0.57/0.77  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.77  % SZS output start Refutation
% See solution above
% 0.57/0.77  
% 0.57/0.77  
% 0.57/0.77  % Terminating...
% 0.61/0.85  % Runner terminated.
% 0.61/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------