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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1JHkN6jsic true

% Computer : n004.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 01:36:53 PM UTC 2026

% Result   : Theorem 0.48s 0.78s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  117 (  30   ~;  31   |;   0   &;  56   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  17   !;   2   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p15_type,type,
    p15: $i > $o ).

thf(p11_type,type,
    p11: $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p14_type,type,
    p14: $i > $o ).

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

thf(p13_type,type,
    p13: $i > $o ).

thf(p12_type,type,
    p12: $i > $o ).

thf(p16_type,type,
    p16: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ( p16 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ( p12 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ( p14 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ( p12 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ( p15 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ( p13 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ( p12 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ( p11 @ Y )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ( p16 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ( p12 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ( p14 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ( p12 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ( p15 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ( p13 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ( p12 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ( p11 @ Y )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl4,plain,
    r1 @ sk_ @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( p12 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( p12 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ~ ( r1 @ sk_ @ sk__3 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1JHkN6jsic true
% 0.13/0.37  % Computer : n004.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Sep  6 01:40:15 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  % Running portfolio for 300 s
% 0.13/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  % Number of cores: 8
% 0.13/0.38  % Python version: Python 3.12.3
% 0.13/0.39  % Running in FO mode
% 0.44/0.67  % Total configuration time : 435
% 0.44/0.67  % Estimated wc time : 1092
% 0.44/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.78  % Solved by fo/fo6_bce.sh.
% 0.48/0.78  % BCE start: 13
% 0.48/0.78  % BCE eliminated: 5
% 0.48/0.78  % PE start: 8
% 0.48/0.78  logic: neq
% 0.48/0.78  % PE eliminated: 6
% 0.48/0.78  % done 0 iterations in 0.005s
% 0.48/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.78  % SZS output start Refutation
% See solution above
% 0.48/0.78  
% 0.48/0.78  
% 0.48/0.78  % Terminating...
% 1.39/0.82  % Runner terminated.
% 1.39/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------