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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL451+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.xaHuPGPBlr true

% Computer : n031.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 01:36:00 PM UTC 2026

% Result   : Theorem 0.44s 0.77s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   75 (   5   ~;   2   |;   0   &;  66   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__39_type,type,
    sk__39: $i ).

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

thf(sk__40_type,type,
    sk__40: $i ).

thf(cn1_type,type,
    cn1: $o ).

thf(implies_3_type,type,
    implies_3: $o ).

thf(sk__38_type,type,
    sk__38: $i ).

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

thf(cn1,axiom,
    ( cn1
  <=> ! [P: $i,Q: $i,R: $i] : ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( implies @ Q @ R ) @ ( implies @ P @ R ) ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ( cn1
    | ~ ( is_a_theorem @ ( implies @ ( implies @ sk__38 @ sk__39 ) @ ( implies @ ( implies @ sk__39 @ sk__40 ) @ ( implies @ sk__38 @ sk__40 ) ) ) ) ),
    inference(cnf,[status(esa)],[cn1]) ).

thf(luka_cn1,conjecture,
    cn1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ cn1,
    inference('cnf.neg',[status(esa)],[luka_cn1]) ).

thf(zip_derived_cl81,plain,
    ~ cn1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl379,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ sk__38 @ sk__39 ) @ ( implies @ ( implies @ sk__39 @ sk__40 ) @ ( implies @ sk__38 @ sk__40 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl81]) ).

thf(hilbert_implies_3,axiom,
    implies_3 ).

thf(zip_derived_cl67,plain,
    implies_3,
    inference(cnf,[status(esa)],[hilbert_implies_3]) ).

thf(implies_3,axiom,
    ( implies_3
  <=> ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) )
      | ~ implies_3 ),
    inference(cnf,[status(esa)],[implies_3]) ).

thf(zip_derived_cl376,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl13]) ).

thf(zip_derived_cl491,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl376]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL451+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.xaHuPGPBlr true
% 0.08/0.34  % Computer : n031.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Fri Sep  4 20:43:39 UTC 2026
% 0.08/0.34  % CPUTime  : 
% 0.08/0.35  % Running portfolio for 300 s
% 0.08/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Number of cores: 8
% 0.08/0.35  % Python version: Python 3.12.3
% 0.13/0.35  % Running in FO mode
% 0.37/0.63  % Total configuration time : 435
% 0.37/0.63  % Estimated wc time : 1092
% 0.37/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.77  % Solved by fo/fo6_bce.sh.
% 0.44/0.77  % BCE start: 82
% 0.44/0.77  % BCE eliminated: 3
% 0.44/0.77  % PE start: 79
% 0.44/0.77  logic: eq
% 0.44/0.77  % PE eliminated: 49
% 0.44/0.77  % done 63 iterations in 0.042s
% 0.44/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.44/0.77  % SZS output start Refutation
% See solution above
% 0.44/0.77  
% 0.44/0.77  
% 0.44/0.77  % Terminating...
% 1.47/0.82  % Runner terminated.
% 1.47/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------