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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Atlt23981 true

% Computer : n026.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 01:37:44 PM UTC 2026

% Result   : Theorem 0.49s 0.80s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  374 (  18   ~;  16   |;   0   &; 340   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   84 (   0   ^;  84   !;   0   ?;  84   :)

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

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

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

thf(sk__type,type,
    sk_: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(prove_cn_1,conjecture,
    ! [A: $i,B: $i,C: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ B @ C ) @ ( implies @ A @ C ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ B @ C ) @ ( implies @ A @ C ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_cn_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ sk_ @ sk__1 ) @ ( implies @ ( implies @ sk__1 @ sk__2 ) @ ( implies @ sk_ @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( implies @ C @ ( implies @ D @ E ) ) @ ( implies @ B @ ( implies @ ( not @ D ) @ ( not @ A ) ) ) ) @ ( implies @ A @ D ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ ( implies @ X2 @ ( implies @ X3 @ X4 ) ) @ ( implies @ X1 @ ( implies @ ( not @ X3 ) @ ( not @ X0 ) ) ) ) @ ( implies @ X0 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[a5]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ ( implies @ X2 @ ( implies @ X3 @ X4 ) ) @ ( implies @ X1 @ ( implies @ ( not @ X3 ) @ ( not @ X0 ) ) ) ) @ ( implies @ X0 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[a5]) ).

thf(condensed_detachment,axiom,
    ! [X: $i,Y: $i] :
      ( ( is_a_theorem @ Y )
      | ~ ( is_a_theorem @ X )
      | ~ ( is_a_theorem @ ( implies @ X @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X4 @ ( implies @ X0 @ X3 ) ) @ ( implies @ X2 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X4 @ ( implies @ X0 @ X3 ) ) @ ( implies @ X2 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ ( implies @ X2 @ ( implies @ X3 @ X4 ) ) @ ( implies @ X1 @ ( implies @ ( not @ X3 ) @ ( not @ X0 ) ) ) ) @ ( implies @ X0 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[a5]) ).

thf(zip_derived_cl3_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X4 @ ( implies @ X0 @ X3 ) ) @ ( implies @ X2 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X4 @ ( implies @ X0 @ X3 ) ) @ ( implies @ X2 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X7 @ ( implies @ X5 @ X6 ) ) @ ( implies @ ( implies @ ( implies @ ( implies @ X4 @ ( implies @ X0 @ X3 ) ) @ ( implies @ X2 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X0 ) ) @ ( implies @ ( not @ X5 ) @ ( not @ ( implies @ X1 @ X2 ) ) ) ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( implies @ X5 @ ( implies @ X3 @ X4 ) ) @ ( implies @ X0 @ ( implies @ ( not @ X3 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X3 ) ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).

thf(zip_derived_cl7_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( implies @ X5 @ ( implies @ X3 @ X4 ) ) @ ( implies @ X0 @ ( implies @ ( not @ X3 ) @ ( not @ X1 ) ) ) ) @ ( implies @ X1 @ X3 ) ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ ( implies @ X5 @ ( implies @ X0 @ X4 ) ) @ ( implies @ X3 @ ( implies @ ( not @ X0 ) @ ( not @ X1 ) ) ) ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ ( implies @ ( implies @ X2 @ X1 ) @ ( implies @ X0 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Atlt23981 true
% 0.12/0.37  % Computer : n026.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sat Sep  5 16:16:56 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  % Running portfolio for 300 s
% 0.12/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.38  % Python version: Python 3.12.3
% 0.12/0.38  % Running in FO mode
% 0.45/0.67  % Total configuration time : 435
% 0.45/0.67  % Estimated wc time : 1092
% 0.45/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80  % Solved by fo/fo6_bce.sh.
% 0.49/0.80  % BCE start: 3
% 0.49/0.80  % BCE eliminated: 0
% 0.49/0.80  % PE start: 3
% 0.49/0.80  logic: neq
% 0.49/0.80  % PE eliminated: 0
% 0.49/0.80  % done 18 iterations in 0.033s
% 0.49/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.80  % SZS output start Refutation
% See solution above
% 0.49/0.80  
% 0.49/0.80  
% 0.49/0.80  % Terminating...
% 0.50/0.85  % Runner terminated.
% 0.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------