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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eg7r8owMxK true

% Computer : n006.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 : Tue May  5 07:08:49 PM UTC 2026

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (  41 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  144 (  11   ~;   5   |;   0   &; 126   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   38 (   0   ^;  34   !;   4   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

thf(proj1C_type,type,
    proj1C: $i > $i ).

thf(linP_type,type,
    linP: $i > $i ).

thf(linC_type,type,
    linC: $i > $i ).

thf(pA_type,type,
    pA: $i ).

thf(append_type,type,
    append: $i > $i > $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(pE_type,type,
    pE: $i ).

thf(c2_type,type,
    c2: $i > $i > $i ).

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

thf(axiom_025,axiom,
    ( ( linP @ pE )
    = nil ) ).

thf(zip_derived_cl24,plain,
    ( ( linP @ pE )
    = nil ),
    inference(cnf,[status(esa)],[axiom_025]) ).

thf(axiom_026,axiom,
    ! [P: $i,Q: $i] :
      ( ( linC @ ( c2 @ P @ Q ) )
      = ( append @ ( linP @ P ) @ ( linP @ Q ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ( linC @ ( c2 @ X0 @ X1 ) )
      = ( append @ ( linP @ X0 ) @ ( linP @ X1 ) ) ),
    inference(cnf,[status(esa)],[axiom_026]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( linC @ ( c2 @ X0 @ pE ) )
      = ( append @ ( linP @ X0 ) @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl25]) ).

thf(axiom_023,axiom,
    ( ( linP @ pA )
    = ( cons @ a @ nil ) ) ).

thf(zip_derived_cl22,plain,
    ( ( linP @ pA )
    = ( cons @ a @ nil ) ),
    inference(cnf,[status(esa)],[axiom_023]) ).

thf(axiom_020,axiom,
    ! [Y: $i,Z: $i,Xs: $i] :
      ( ( append @ ( cons @ Z @ Xs ) @ Y )
      = ( cons @ Z @ ( append @ Xs @ Y ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( append @ ( cons @ X0 @ X1 ) @ X2 )
      = ( cons @ X0 @ ( append @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[axiom_020]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( append @ ( linP @ pA ) @ X0 )
      = ( cons @ a @ ( append @ nil @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl19]) ).

thf(axiom_019,axiom,
    ! [Y: $i] :
      ( ( append @ nil @ Y )
      = Y ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( append @ nil @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[axiom_019]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( append @ ( linP @ pA ) @ X0 )
      = ( cons @ a @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl18]) ).

thf(zip_derived_cl125,plain,
    ( ( linC @ ( c2 @ pA @ pE ) )
    = ( cons @ a @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl36]) ).

thf(zip_derived_cl22_001,plain,
    ( ( linP @ pA )
    = ( cons @ a @ nil ) ),
    inference(cnf,[status(esa)],[axiom_023]) ).

thf(zip_derived_cl129,plain,
    ( ( linC @ ( c2 @ pA @ pE ) )
    = ( linP @ pA ) ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl22]) ).

thf(zip_derived_cl24_002,plain,
    ( ( linP @ pE )
    = nil ),
    inference(cnf,[status(esa)],[axiom_025]) ).

thf(zip_derived_cl25_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( linC @ ( c2 @ X0 @ X1 ) )
      = ( append @ ( linP @ X0 ) @ ( linP @ X1 ) ) ),
    inference(cnf,[status(esa)],[axiom_026]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( linC @ ( c2 @ pE @ X0 ) )
      = ( append @ nil @ ( linP @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl25]) ).

thf(zip_derived_cl18_004,plain,
    ! [X0: $i] :
      ( ( append @ nil @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[axiom_019]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( linC @ ( c2 @ pE @ X0 ) )
      = ( linP @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl18]) ).

thf(goal_027,conjecture,
    ? [U: $i,V: $i] :
      ~ ( ( ( linC @ U )
          = ( linC @ V ) )
       => ( U = V ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [U: $i,V: $i] :
        ~ ( ( ( linC @ U )
            = ( linC @ V ) )
         => ( U = V ) ),
    inference('cnf.neg',[status(esa)],[goal_027]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( ( linC @ X1 )
       != ( linC @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( linC @ X1 )
       != ( linP @ X0 ) )
      | ( X1
        = ( c2 @ pE @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl26]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ( ( linP @ pA )
       != ( linP @ X0 ) )
      | ( ( c2 @ pA @ pE )
        = ( c2 @ pE @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl43]) ).

thf(axiom_017,axiom,
    ! [X: $i,X2: $i] :
      ( ( proj1C @ ( c2 @ X @ X2 ) )
      = X ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( proj1C @ ( c2 @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[axiom_017]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ( ( proj1C @ ( c2 @ pA @ pE ) )
        = pE )
      | ( ( linP @ pA )
       != ( linP @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl16]) ).

thf(zip_derived_cl16_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( proj1C @ ( c2 @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[axiom_017]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i] :
      ( ( pA = pE )
      | ( ( linP @ pA )
       != ( linP @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl16]) ).

thf(axiom_015,axiom,
    pA != pE ).

thf(zip_derived_cl14,plain,
    pA != pE,
    inference(cnf,[status(esa)],[axiom_015]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i] :
      ( ( linP @ pA )
     != ( linP @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl204,zip_derived_cl14]) ).

thf(zip_derived_cl213,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl205]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX207+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eg7r8owMxK true
% 0.16/0.34  % Computer : n006.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue May  5 11:36:01 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % Solved by fo/fo3_bce.sh.
% 0.58/0.76  % BCE start: 27
% 0.58/0.76  % BCE eliminated: 0
% 0.58/0.76  % PE start: 27
% 0.58/0.76  logic: eq
% 0.58/0.76  % PE eliminated: 0
% 0.58/0.76  % done 89 iterations in 0.024s
% 0.58/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.77  % Terminating...
% 0.63/0.85  % Runner terminated.
% 0.63/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------