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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM146+1 : TPTP v9.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8mgCbsJRQg true

% Computer : n027.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 04:30:45 PM UTC 2025

% Result   : Theorem 0.53s 0.82s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (   6   ~;   3   |;   2   &;  34   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vnoExp_type,type,
    vnoExp: $i ).

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

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

thf(vvar_type,type,
    vvar: $i > $i ).

thf(vtcheck_type,type,
    vtcheck: $i > $i > $i > $o ).

thf(vreduce_type,type,
    vreduce: $i > $i ).

thf(vsomeExp_type,type,
    vsomeExp: $i > $i ).

thf('T-Preservation-T-var',conjecture,
    ! [Vx: $i,VC: $i,Veout: $i,VT: $i] :
      ( ( ( ( vreduce @ ( vvar @ Vx ) )
          = ( vsomeExp @ Veout ) )
        & ( vtcheck @ VC @ ( vvar @ Vx ) @ VT ) )
     => ( vtcheck @ VC @ Veout @ VT ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vx: $i,VC: $i,Veout: $i,VT: $i] :
        ( ( ( ( vreduce @ ( vvar @ Vx ) )
            = ( vsomeExp @ Veout ) )
          & ( vtcheck @ VC @ ( vvar @ Vx ) @ VT ) )
       => ( vtcheck @ VC @ Veout @ VT ) ),
    inference('cnf.neg',[status(esa)],[T-Preservation-T-var]) ).

thf(zip_derived_cl25,plain,
    ( ( vreduce @ ( vvar @ sk__3 ) )
    = ( vsomeExp @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reduce0,axiom,
    ! [Vx: $i,VExp0: $i,RESULT: $i] :
      ( ( VExp0
        = ( vvar @ Vx ) )
     => ( ( RESULT
          = ( vreduce @ VExp0 ) )
       => ( RESULT = vnoExp ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( vvar @ X0 ) )
      | ( X2 = vnoExp )
      | ( X2
       != ( vreduce @ X1 ) ) ),
    inference(cnf,[status(esa)],[reduce0]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( vreduce @ ( vvar @ X1 ) ) )
      | ( X0 = vnoExp ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( vreduce @ ( vvar @ X0 ) )
      = vnoExp ),
    inference(eq_res,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl108,plain,
    ( vnoExp
    = ( vsomeExp @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl107]) ).

thf('DIFF-noExp-someExp',axiom,
    ! [VExp0: $i] :
      ( vnoExp
     != ( vsomeExp @ VExp0 ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( vnoExp
     != ( vsomeExp @ X0 ) ),
    inference(cnf,[status(esa)],[DIFF-noExp-someExp]) ).

thf(zip_derived_cl109,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : COM146+1 : TPTP v9.2.0. Released v6.4.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8mgCbsJRQg true
% 0.13/0.36  % Computer : n027.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 13:47:23 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.37  % Running in FO mode
% 0.50/0.62  % Total configuration time : 435
% 0.50/0.62  % Estimated wc time : 1092
% 0.50/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.82  % Solved by fo/fo4.sh.
% 0.53/0.82  % done 15 iterations in 0.033s
% 0.53/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.82  % SZS output start Refutation
% See solution above
% 0.53/0.82  
% 0.53/0.82  
% 0.53/0.82  % Terminating...
% 1.62/0.87  % Runner terminated.
% 1.62/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------