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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sl9NnUnqB1 true

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:36:03 PM UTC 2026

% Result   : Theorem 0.49s 0.77s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   62 (   6   ~;   3   |;   0   &;  50   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(r2_type,type,
    r2: $o ).

thf(implies_1_type,type,
    implies_1: $o ).

thf(or_type,type,
    or: $i > $i > $i ).

thf(op_implies_or_type,type,
    op_implies_or: $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(not_type,type,
    not: $i > $i ).

thf(implies_1,axiom,
    ( implies_1
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ( implies_1
    | ~ ( is_a_theorem @ ( implies @ sk__6 @ ( implies @ sk__7 @ sk__6 ) ) ) ),
    inference(cnf,[status(esa)],[implies_1]) ).

thf(hilbert_implies_1,conjecture,
    implies_1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ implies_1,
    inference('cnf.neg',[status(esa)],[hilbert_implies_1]) ).

thf(zip_derived_cl73,plain,
    ~ implies_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl363,plain,
    ~ ( is_a_theorem @ ( implies @ sk__6 @ ( implies @ sk__7 @ sk__6 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl73]) ).

thf(principia_op_implies_or,axiom,
    op_implies_or ).

thf(zip_derived_cl60,plain,
    op_implies_or,
    inference(cnf,[status(esa)],[principia_op_implies_or]) ).

thf(op_implies_or,axiom,
    ( op_implies_or
   => ! [X: $i,Y: $i] :
        ( ( implies @ X @ Y )
        = ( or @ ( not @ X ) @ Y ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( implies @ X0 @ X1 )
        = ( or @ ( not @ X0 ) @ X1 ) )
      | ~ op_implies_or ),
    inference(cnf,[status(esa)],[op_implies_or]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i] :
      ( ( implies @ X1 @ X0 )
      = ( or @ ( not @ X1 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl58]) ).

thf(principia_r2,axiom,
    r2 ).

thf(zip_derived_cl65,plain,
    r2,
    inference(cnf,[status(esa)],[principia_r2]) ).

thf(r2,axiom,
    ( r2
  <=> ! [P: $i,Q: $i] : ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) )
      | ~ r2 ),
    inference(cnf,[status(esa)],[r2]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( or @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl47]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl358]) ).

thf(zip_derived_cl384,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl383]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sl9NnUnqB1 true
% 0.10/0.36  % Computer : n006.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 09:44:01 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Number of cores: 8
% 0.10/0.37  % Python version: Python 3.12.3
% 0.10/0.37  % Running in FO mode
% 0.46/0.66  % Total configuration time : 435
% 0.46/0.66  % Estimated wc time : 1092
% 0.46/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.77  % Solved by fo/fo6_bce.sh.
% 0.49/0.77  % BCE start: 74
% 0.49/0.77  % BCE eliminated: 0
% 0.49/0.77  % PE start: 74
% 0.49/0.77  logic: eq
% 0.49/0.77  % PE eliminated: 42
% 0.49/0.77  % done 10 iterations in 0.021s
% 0.49/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.77  % SZS output start Refutation
% See solution above
% 0.49/0.77  
% 0.49/0.77  
% 0.49/0.77  % Terminating...
% 1.38/0.81  % Runner terminated.
% 1.38/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------