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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV151+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mbM0Z48rEb true

% Computer : n016.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 05:00:16 PM UTC 2025

% Result   : Theorem 0.49s 0.77s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  104 (  12   ~;   9   |;   4   &;  74   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(q_type,type,
    q: $i ).

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(tptp_sum_index_type,type,
    tptp_sum_index: $i ).

thf(n0_type,type,
    n0: $i ).

thf(n4_type,type,
    n4: $i ).

thf(gt_0_tptp_minus_1,axiom,
    gt @ n0 @ tptp_minus_1 ).

thf(zip_derived_cl70,plain,
    gt @ n0 @ tptp_minus_1,
    inference(cnf,[status(esa)],[gt_0_tptp_minus_1]) ).

thf(cl5_nebula_norm_0001,conjecture,
    ! [A: $i] :
      ( ( ( leq @ n0 @ A )
        & ( leq @ A @ tptp_minus_1 ) )
     => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
        = n1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( leq @ n0 @ A )
          & ( leq @ A @ tptp_minus_1 ) )
       => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
          = n1 ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0001]) ).

thf(zip_derived_cl99,plain,
    leq @ n0 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl612,plain,
    ! [X0: $i] :
      ( ( leq @ n0 @ X0 )
      | ~ ( leq @ sk__16 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl4]) ).

thf(zip_derived_cl100,plain,
    leq @ sk__16 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    leq @ n0 @ tptp_minus_1,
    inference('sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl100]) ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(finite_domain_0,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n0 ) )
     => ( X = n0 ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl629,plain,
    ! [X0: $i] :
      ( ~ ( gt @ n0 @ X0 )
      | ~ ( leq @ n0 @ X0 )
      | ( X0 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl90]) ).

thf(zip_derived_cl644,plain,
    ( ( tptp_minus_1 = n0 )
    | ~ ( gt @ n0 @ tptp_minus_1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl629]) ).

thf(zip_derived_cl70_001,plain,
    gt @ n0 @ tptp_minus_1,
    inference(cnf,[status(esa)],[gt_0_tptp_minus_1]) ).

thf(zip_derived_cl646,plain,
    tptp_minus_1 = n0,
    inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl70]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl652,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl646,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SWV151+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mbM0Z48rEb true
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 12:45:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.40/0.60  % Total configuration time : 435
% 0.40/0.60  % Estimated wc time : 1092
% 0.40/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.77  % Solved by fo/fo3_bce.sh.
% 0.49/0.77  % BCE start: 102
% 0.49/0.77  % BCE eliminated: 0
% 0.49/0.77  % PE start: 102
% 0.49/0.77  logic: eq
% 0.49/0.77  % PE eliminated: 3
% 0.49/0.77  % done 46 iterations in 0.045s
% 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...
% 0.54/0.82  % Runner terminated.
% 1.60/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------