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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM836+2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yOT2bnvIa9 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 04:48:28 PM UTC 2025

% Result   : Theorem 1.24s 0.74s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   75 (  15   ~;   8   |;   0   &;  50   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(vplus_type,type,
    vplus: $i > $i > $i ).

thf(vd204_type,type,
    vd204: $i ).

thf(vd203_type,type,
    vd203: $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf('dis(ex(cond(conseq(131), 0), 1))',conjecture,
    ( ~ ( greater @ vd203 @ vd204 )
    | ~ ( less @ vd203 @ vd204 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ( greater @ vd203 @ vd204 )
      | ~ ( less @ vd203 @ vd204 ) ),
    inference('cnf.neg',[status(esa)],[dis(ex(cond(conseq(131),0),1))]) ).

thf(zip_derived_cl1,plain,
    greater @ vd203 @ vd204,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('def(cond(conseq(axiom(3)), 11), 1)',axiom,
    ! [Vd193: $i,Vd194: $i] :
      ( ( greater @ Vd194 @ Vd193 )
    <=> ? [Vd196: $i] :
          ( Vd194
          = ( vplus @ Vd193 @ Vd196 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( vplus @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),11),1)]) ).

thf(zip_derived_cl34,plain,
    ( vd203
    = ( vplus @ vd204 @ ( sk__1 @ vd203 @ vd204 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    less @ vd203 @ vd204,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('def(cond(conseq(axiom(3)), 12), 1)',axiom,
    ! [Vd198: $i,Vd199: $i] :
      ( ( less @ Vd199 @ Vd198 )
    <=> ? [Vd201: $i] :
          ( Vd198
          = ( vplus @ Vd199 @ Vd201 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( vplus @ X0 @ ( sk_ @ X0 @ X1 ) ) )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),12),1)]) ).

thf(zip_derived_cl29,plain,
    ( vd204
    = ( vplus @ vd203 @ ( sk_ @ vd203 @ vd204 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf('ass(cond(goal(88), 0), 2)',axiom,
    ! [Vd120: $i,Vd121: $i] :
      ( ~ ? [Vd125: $i] :
            ( Vd121
            = ( vplus @ Vd120 @ Vd125 ) )
      | ~ ? [Vd123: $i] :
            ( Vd120
            = ( vplus @ Vd121 @ Vd123 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
       != ( vplus @ X0 @ X1 ) )
      | ( X0
       != ( vplus @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(88),0),2)]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != vd204 )
      | ( vd203
       != ( vplus @ X0 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl9]) ).

thf(zip_derived_cl47,plain,
    ( ( vd203 != vd203 )
    | ( vd204 != vd204 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl42]) ).

thf(zip_derived_cl49,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM836+2 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yOT2bnvIa9 true
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 16:18:38 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 1.24/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.24/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.24/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.24/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.24/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.74  % Solved by fo/fo3_bce.sh.
% 1.24/0.74  % BCE start: 15
% 1.24/0.74  % BCE eliminated: 0
% 1.24/0.74  % PE start: 15
% 1.24/0.74  logic: eq
% 1.24/0.74  % PE eliminated: 1
% 1.24/0.74  % done 8 iterations in 0.010s
% 1.24/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.74  % SZS output start Refutation
% See solution above
% 1.24/0.74  
% 1.24/0.74  
% 1.24/0.74  % Terminating...
% 1.39/0.81  % Runner terminated.
% 1.39/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------