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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO547+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FhETzR7ASl true

% Computer : n014.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 04:34:53 PM UTC 2025

% Result   : Theorem 0.59s 1.04s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   63 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :  117 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  448 (  36   ~;  34   |;  15   &; 358   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :  104 (   0   ^; 104   !;   0   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
thf(perp_type,type,
    perp: $i > $i > $i > $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(circle_type,type,
    circle: $i > $i > $i > $i > $o ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(coll_type,type,
    coll: $i > $i > $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(exemplo6GDDFULL012007,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( perp @ E @ D @ B @ C )
        & ( coll @ E @ B @ C )
        & ( perp @ F @ D @ A @ C )
        & ( coll @ F @ A @ C )
        & ( perp @ G @ D @ A @ B )
        & ( coll @ G @ A @ B ) )
     => ( coll @ E @ F @ G ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( perp @ E @ D @ B @ C )
          & ( coll @ E @ B @ C )
          & ( perp @ F @ D @ A @ C )
          & ( coll @ F @ A @ C )
          & ( perp @ G @ D @ A @ B )
          & ( coll @ G @ A @ B ) )
       => ( coll @ E @ F @ G ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012007]) ).

thf(zip_derived_cl121,plain,
    ~ ( coll @ sk__25 @ sk__26 @ sk__27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    coll @ sk__25 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ B @ A @ C ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl126,plain,
    coll @ sk__21 @ sk__25 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1]) ).

thf(ruleD3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( coll @ A @ B @ C )
        & ( coll @ A @ B @ D ) )
     => ( coll @ C @ D @ A ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl176,plain,
    coll @ sk__22 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl166]) ).

thf(zip_derived_cl118,plain,
    coll @ sk__26 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl127,plain,
    coll @ sk__20 @ sk__26 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl1]) ).

thf(zip_derived_cl166_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl173,plain,
    coll @ sk__22 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl166]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl2]) ).

thf(zip_derived_cl598,plain,
    coll @ sk__20 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl208]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl604,plain,
    coll @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl1]) ).

thf(zip_derived_cl120,plain,
    coll @ sk__27 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ A @ C @ B ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl124,plain,
    coll @ sk__27 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl0]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl135,plain,
    coll @ sk__21 @ sk__27 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl1]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl146,plain,
    coll @ sk__21 @ sk__20 @ sk__27,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl0]) ).

thf(zip_derived_cl2_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ( coll @ sk__27 @ X0 @ sk__21 )
      | ~ ( coll @ sk__21 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl2]) ).

thf(zip_derived_cl621,plain,
    coll @ sk__27 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl195]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl652,plain,
    coll @ sk__27 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl621,zip_derived_cl0]) ).

thf(zip_derived_cl124_009,plain,
    coll @ sk__27 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl0]) ).

thf(zip_derived_cl2_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__27 )
      | ~ ( coll @ sk__27 @ sk__21 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl2]) ).

thf(zip_derived_cl709,plain,
    coll @ sk__20 @ sk__22 @ sk__27,
    inference('sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl165]) ).

thf(zip_derived_cl127_011,plain,
    coll @ sk__20 @ sk__26 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl1]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl138,plain,
    coll @ sk__20 @ sk__22 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl0]) ).

thf(zip_derived_cl2_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl152,plain,
    ! [X0: $i] :
      ( ( coll @ sk__26 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2]) ).

thf(zip_derived_cl813,plain,
    coll @ sk__26 @ sk__27 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl709,zip_derived_cl152]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl920,plain,
    coll @ sk__26 @ sk__20 @ sk__27,
    inference('sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl0]) ).

thf(zip_derived_cl116_015,plain,
    coll @ sk__25 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl166_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl180,plain,
    coll @ sk__22 @ sk__22 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl166]) ).

thf(zip_derived_cl208_017,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl2]) ).

thf(zip_derived_cl600,plain,
    coll @ sk__20 @ sk__25 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl208]) ).

thf(zip_derived_cl0_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl609,plain,
    coll @ sk__20 @ sk__22 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl0]) ).

thf(zip_derived_cl152_019,plain,
    ! [X0: $i] :
      ( ( coll @ sk__26 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2]) ).

thf(zip_derived_cl630,plain,
    coll @ sk__26 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl152]) ).

thf(zip_derived_cl0_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl674,plain,
    coll @ sk__26 @ sk__20 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl0]) ).

thf(zip_derived_cl2_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl752,plain,
    ! [X0: $i] :
      ( ( coll @ sk__25 @ X0 @ sk__26 )
      | ~ ( coll @ sk__26 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl2]) ).

thf(zip_derived_cl1746,plain,
    coll @ sk__25 @ sk__27 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl920,zip_derived_cl752]) ).

thf(zip_derived_cl0_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1748,plain,
    coll @ sk__25 @ sk__26 @ sk__27,
    inference('sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl0]) ).

thf(zip_derived_cl1751,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl1748]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO547+1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FhETzR7ASl true
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:35:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.04  % Solved by fo/fo5.sh.
% 0.59/1.04  % done 1553 iterations in 0.239s
% 0.59/1.04  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.04  % SZS output start Refutation
% See solution above
% 0.59/1.04  
% 0.59/1.04  
% 0.59/1.04  % Terminating...
% 1.80/1.17  % Runner terminated.
% 1.80/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------