TSTP Solution File: GEO600+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO600+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gKBNkZ3GMH true

% Computer : n032.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 : Wed Aug 30 23:59:21 EDT 2023

% Result   : Theorem 49.36s 7.58s
% Output   : Refutation 49.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  212 (  88 unt;  16 typ;   0 def)
%            Number of atoms       :  369 (   0 equ;   0 cnn)
%            Maximal formula atoms :   15 (   1 avg)
%            Number of connectives : 1520 ( 119   ~; 117   |;  37   &;1228   @)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :  389 (   0   ^; 388   !;   1   ?; 389   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__22_type,type,
    sk__22: $i ).

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

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

thf(sk__28_type,type,
    sk__28: $i ).

thf(cong_type,type,
    cong: $i > $i > $i > $i > $o ).

thf(midp_type,type,
    midp: $i > $i > $i > $o ).

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

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

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

thf(sk__30_type,type,
    sk__30: $i ).

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

thf(sk__24_type,type,
    sk__24: $i ).

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

thf(para_type,type,
    para: $i > $i > $i > $i > $o ).

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

thf(sk__6_type,type,
    sk__6: $i > $i > $i ).

thf(exemplo6GDDFULL618062,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i,NWPNT01: $i,NWPNT11: $i,NWPNT21: $i] :
      ( ( ( circle @ D @ A @ B @ C )
        & ( circle @ D @ A @ E @ NWPNT1 )
        & ( midp @ F @ C @ E )
        & ( midp @ G @ A @ E )
        & ( circle @ F @ E @ NWPNT2 @ NWPNT3 )
        & ( circle @ G @ E @ NWPNT4 @ NWPNT5 )
        & ( circle @ F @ E @ H @ NWPNT6 )
        & ( circle @ G @ E @ H @ NWPNT7 )
        & ( coll @ I @ A @ B )
        & ( circle @ G @ E @ I @ NWPNT8 )
        & ( midp @ J @ B @ E )
        & ( circle @ J @ B @ NWPNT9 @ NWPNT01 )
        & ( circle @ F @ E @ K @ NWPNT11 )
        & ( circle @ J @ B @ K @ NWPNT21 ) )
     => ( coll @ I @ H @ K ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i,NWPNT01: $i,NWPNT11: $i,NWPNT21: $i] :
        ( ( ( circle @ D @ A @ B @ C )
          & ( circle @ D @ A @ E @ NWPNT1 )
          & ( midp @ F @ C @ E )
          & ( midp @ G @ A @ E )
          & ( circle @ F @ E @ NWPNT2 @ NWPNT3 )
          & ( circle @ G @ E @ NWPNT4 @ NWPNT5 )
          & ( circle @ F @ E @ H @ NWPNT6 )
          & ( circle @ G @ E @ H @ NWPNT7 )
          & ( coll @ I @ A @ B )
          & ( circle @ G @ E @ I @ NWPNT8 )
          & ( midp @ J @ B @ E )
          & ( circle @ J @ B @ NWPNT9 @ NWPNT01 )
          & ( circle @ F @ E @ K @ NWPNT11 )
          & ( circle @ J @ B @ K @ NWPNT21 ) )
       => ( coll @ I @ H @ K ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618062]) ).

thf(zip_derived_cl127,plain,
    ~ ( coll @ sk__28 @ sk__27 @ sk__30 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    midp @ sk__26 @ sk__20 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD69,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl139,plain,
    coll @ sk__26 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl69]) ).

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_cl154,plain,
    coll @ sk__20 @ sk__26 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl139,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_cl170,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_cl201,plain,
    coll @ sk__24 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl170]) ).

thf(zip_derived_cl116,plain,
    midp @ sk__25 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl138,plain,
    coll @ sk__25 @ sk__22 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl69]) ).

thf(zip_derived_cl170_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_cl179,plain,
    coll @ sk__24 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl170]) ).

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_cl227,plain,
    ! [X0: $i] :
      ( ( coll @ sk__25 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl2]) ).

thf(zip_derived_cl1163,plain,
    coll @ sk__25 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl227]) ).

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_cl1172,plain,
    coll @ sk__25 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1163,zip_derived_cl0]) ).

thf(zip_derived_cl170_004,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_cl1194,plain,
    coll @ sk__20 @ sk__20 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1172,zip_derived_cl170]) ).

thf(zip_derived_cl170_005,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_cl1244,plain,
    coll @ sk__25 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl170]) ).

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_cl1350,plain,
    coll @ sk__25 @ sk__20 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1244,zip_derived_cl0]) ).

thf(zip_derived_cl1_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1511,plain,
    coll @ sk__20 @ sk__25 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl1]) ).

thf(zip_derived_cl117_008,plain,
    midp @ sk__26 @ sk__20 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD11,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl135,plain,
    midp @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(zip_derived_cl116_009,plain,
    midp @ sk__25 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl134,plain,
    midp @ sk__25 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl10]) ).

thf(ruleD44,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( midp @ F @ A @ C ) )
     => ( para @ E @ F @ B @ C ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X1 @ X4 )
      | ( para @ X0 @ X3 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD44]) ).

thf(zip_derived_cl1091,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__25 @ X1 @ sk__22 @ X0 )
      | ~ ( midp @ X1 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl44]) ).

thf(zip_derived_cl5375,plain,
    para @ sk__25 @ sk__26 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl1091]) ).

thf(ruleD5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD5]) ).

thf(zip_derived_cl7765,plain,
    para @ sk__22 @ sk__20 @ sk__25 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl5375,zip_derived_cl4]) ).

thf(ruleD4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl9040,plain,
    para @ sk__22 @ sk__20 @ sk__26 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl7765,zip_derived_cl3]) ).

thf(ruleD45,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( para @ E @ F @ B @ C )
        & ( coll @ F @ A @ C ) )
     => ( midp @ F @ A @ C ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ~ ( coll @ X3 @ X1 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD45]) ).

thf(zip_derived_cl9836,plain,
    ! [X0: $i] :
      ( ( midp @ sk__20 @ X0 @ sk__25 )
      | ~ ( coll @ sk__20 @ X0 @ sk__25 )
      | ~ ( midp @ sk__22 @ X0 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9040,zip_derived_cl45]) ).

thf(zip_derived_cl11458,plain,
    ( ~ ( midp @ sk__22 @ sk__25 @ sk__26 )
    | ( midp @ sk__20 @ sk__25 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1511,zip_derived_cl9836]) ).

thf(zip_derived_cl139_011,plain,
    coll @ sk__26 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl69]) ).

thf(zip_derived_cl170_012,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_cl181,plain,
    coll @ sk__24 @ sk__24 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl170]) ).

thf(zip_derived_cl227_013,plain,
    ! [X0: $i] :
      ( ( coll @ sk__25 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl2]) ).

thf(zip_derived_cl1168,plain,
    coll @ sk__25 @ sk__26 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl227]) ).

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_cl1180,plain,
    coll @ sk__25 @ sk__24 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl1168,zip_derived_cl0]) ).

thf(zip_derived_cl134_015,plain,
    midp @ sk__25 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl10]) ).

thf(zip_derived_cl69_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl145,plain,
    coll @ sk__25 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl69]) ).

thf(zip_derived_cl2_017,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_cl172,plain,
    ! [X0: $i] :
      ( ( coll @ sk__22 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl2]) ).

thf(zip_derived_cl1213,plain,
    coll @ sk__22 @ sk__26 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1180,zip_derived_cl172]) ).

thf(zip_derived_cl134_018,plain,
    midp @ sk__25 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl10]) ).

thf(zip_derived_cl135_019,plain,
    midp @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(zip_derived_cl44_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X1 @ X4 )
      | ( para @ X0 @ X3 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD44]) ).

thf(zip_derived_cl1093,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__26 @ X1 @ sk__20 @ X0 )
      | ~ ( midp @ X1 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl44]) ).

thf(zip_derived_cl5410,plain,
    para @ sk__26 @ sk__25 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1093]) ).

thf(zip_derived_cl4_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD5]) ).

thf(zip_derived_cl7913,plain,
    para @ sk__20 @ sk__22 @ sk__26 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl5410,zip_derived_cl4]) ).

thf(zip_derived_cl45_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ~ ( coll @ X3 @ X1 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD45]) ).

thf(zip_derived_cl9122,plain,
    ! [X0: $i] :
      ( ( midp @ sk__22 @ X0 @ sk__25 )
      | ~ ( coll @ sk__22 @ X0 @ sk__25 )
      | ~ ( midp @ sk__20 @ X0 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7913,zip_derived_cl45]) ).

thf(zip_derived_cl9770,plain,
    ( ~ ( midp @ sk__20 @ sk__26 @ sk__26 )
    | ( midp @ sk__22 @ sk__26 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl9122]) ).

thf(zip_derived_cl117_023,plain,
    midp @ sk__26 @ sk__20 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_024,plain,
    midp @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(ruleD68,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( cong @ A @ B @ A @ C ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl1828,plain,
    cong @ sk__26 @ sk__24 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl68]) ).

thf(ruleD12,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C ) )
     => ( circle @ O @ A @ B @ C ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD12]) ).

thf(zip_derived_cl461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( circle @ X1 @ X2 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl3658,plain,
    circle @ sk__26 @ sk__24 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1828,zip_derived_cl461]) ).

thf(ruleD53,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ O @ A @ C ) )
     => ( perp @ A @ B @ B @ C ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD53]) ).

thf(zip_derived_cl3737,plain,
    ( ~ ( coll @ sk__26 @ sk__24 @ sk__20 )
    | ( perp @ sk__24 @ sk__20 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3658,zip_derived_cl53]) ).

thf(zip_derived_cl135_025,plain,
    midp @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(zip_derived_cl69_026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl147,plain,
    coll @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl69]) ).

thf(zip_derived_cl3740,plain,
    perp @ sk__24 @ sk__20 @ sk__20 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl3737,zip_derived_cl147]) ).

thf(ruleD8,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl6957,plain,
    perp @ sk__20 @ sk__20 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl3740,zip_derived_cl7]) ).

thf(ruleD7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl8969,plain,
    perp @ sk__20 @ sk__20 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl6957,zip_derived_cl6]) ).

thf(ruleD52,axiom,
    ! [A: $i,B: $i,C: $i,M: $i] :
      ( ( ( perp @ A @ B @ B @ C )
        & ( midp @ M @ A @ C ) )
     => ( cong @ A @ M @ B @ M ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X0 @ X2 )
      | ( cong @ X0 @ X3 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD52]) ).

thf(zip_derived_cl9719,plain,
    ! [X0: $i] :
      ( ( cong @ sk__20 @ X0 @ sk__20 @ X0 )
      | ~ ( midp @ X0 @ sk__20 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8969,zip_derived_cl52]) ).

thf(zip_derived_cl9763,plain,
    cong @ sk__20 @ sk__26 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl9719]) ).

thf(ruleD67,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( cong @ A @ B @ A @ C )
        & ( coll @ A @ B @ C ) )
     => ( midp @ A @ B @ C ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD67]) ).

thf(zip_derived_cl10628,plain,
    ( ~ ( coll @ sk__20 @ sk__26 @ sk__26 )
    | ( midp @ sk__20 @ sk__26 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9763,zip_derived_cl67]) ).

thf(zip_derived_cl147_027,plain,
    coll @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl69]) ).

thf(zip_derived_cl170_028,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_cl189,plain,
    coll @ sk__20 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl170]) ).

thf(zip_derived_cl170_029,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_cl258,plain,
    coll @ sk__26 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl170]) ).

thf(zip_derived_cl0_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl372,plain,
    coll @ sk__26 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl0]) ).

thf(zip_derived_cl1_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl501,plain,
    coll @ sk__20 @ sk__26 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl1]) ).

thf(zip_derived_cl10644,plain,
    midp @ sk__20 @ sk__26 @ sk__26,
    inference(demod,[status(thm)],[zip_derived_cl10628,zip_derived_cl501]) ).

thf(zip_derived_cl10645,plain,
    midp @ sk__22 @ sk__26 @ sk__25,
    inference(demod,[status(thm)],[zip_derived_cl9770,zip_derived_cl10644]) ).

thf(zip_derived_cl10_032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl10694,plain,
    midp @ sk__22 @ sk__25 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl10645,zip_derived_cl10]) ).

thf(zip_derived_cl11462,plain,
    midp @ sk__20 @ sk__25 @ sk__25,
    inference(demod,[status(thm)],[zip_derived_cl11458,zip_derived_cl10694]) ).

thf(zip_derived_cl134_033,plain,
    midp @ sk__25 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl10]) ).

thf(zip_derived_cl116_034,plain,
    midp @ sk__25 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl1825,plain,
    cong @ sk__25 @ sk__22 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl68]) ).

thf(zip_derived_cl461_036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( circle @ X1 @ X2 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl3556,plain,
    circle @ sk__25 @ sk__22 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1825,zip_derived_cl461]) ).

thf(zip_derived_cl53_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD53]) ).

thf(zip_derived_cl3580,plain,
    ( ~ ( coll @ sk__25 @ sk__22 @ sk__24 )
    | ( perp @ sk__22 @ sk__24 @ sk__24 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3556,zip_derived_cl53]) ).

thf(zip_derived_cl138_038,plain,
    coll @ sk__25 @ sk__22 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl69]) ).

thf(zip_derived_cl3583,plain,
    perp @ sk__22 @ sk__24 @ sk__24 @ sk__24,
    inference(demod,[status(thm)],[zip_derived_cl3580,zip_derived_cl138]) ).

thf(zip_derived_cl7_039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl5713,plain,
    perp @ sk__24 @ sk__24 @ sk__22 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl3583,zip_derived_cl7]) ).

thf(zip_derived_cl6_040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl8582,plain,
    perp @ sk__24 @ sk__24 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl5713,zip_derived_cl6]) ).

thf(zip_derived_cl52_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X0 @ X2 )
      | ( cong @ X0 @ X3 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD52]) ).

thf(zip_derived_cl9332,plain,
    ! [X0: $i] :
      ( ( cong @ sk__24 @ X0 @ sk__24 @ X0 )
      | ~ ( midp @ X0 @ sk__24 @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8582,zip_derived_cl52]) ).

thf(zip_derived_cl9381,plain,
    cong @ sk__24 @ sk__25 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl9332]) ).

thf(zip_derived_cl461_042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( circle @ X1 @ X2 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl10076,plain,
    circle @ sk__24 @ sk__25 @ sk__25 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl9381,zip_derived_cl461]) ).

thf(zip_derived_cl53_043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD53]) ).

thf(zip_derived_cl10128,plain,
    ( ~ ( coll @ sk__24 @ sk__25 @ sk__25 )
    | ( perp @ sk__25 @ sk__25 @ sk__25 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10076,zip_derived_cl53]) ).

thf(zip_derived_cl179_044,plain,
    coll @ sk__24 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl170]) ).

thf(zip_derived_cl170_045,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_cl230,plain,
    coll @ sk__25 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl170]) ).

thf(zip_derived_cl0_046,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl323,plain,
    coll @ sk__25 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl0]) ).

thf(zip_derived_cl1_047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl447,plain,
    coll @ sk__24 @ sk__25 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl1]) ).

thf(zip_derived_cl10131,plain,
    perp @ sk__25 @ sk__25 @ sk__25 @ sk__25,
    inference(demod,[status(thm)],[zip_derived_cl10128,zip_derived_cl447]) ).

thf(zip_derived_cl52_048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X0 @ X2 )
      | ( cong @ X0 @ X3 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD52]) ).

thf(zip_derived_cl11543,plain,
    ! [X0: $i] :
      ( ( cong @ sk__25 @ X0 @ sk__25 @ X0 )
      | ~ ( midp @ X0 @ sk__25 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10131,zip_derived_cl52]) ).

thf(zip_derived_cl11579,plain,
    cong @ sk__25 @ sk__20 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl11462,zip_derived_cl11543]) ).

thf(zip_derived_cl67_049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD67]) ).

thf(zip_derived_cl17317,plain,
    ( ~ ( coll @ sk__25 @ sk__20 @ sk__20 )
    | ( midp @ sk__25 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11579,zip_derived_cl67]) ).

thf(zip_derived_cl1194_050,plain,
    coll @ sk__20 @ sk__20 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1172,zip_derived_cl170]) ).

thf(zip_derived_cl0_051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1242,plain,
    coll @ sk__20 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl0]) ).

thf(zip_derived_cl1_052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1347,plain,
    coll @ sk__25 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1242,zip_derived_cl1]) ).

thf(zip_derived_cl17333,plain,
    midp @ sk__25 @ sk__20 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl17317,zip_derived_cl1347]) ).

thf(zip_derived_cl122,plain,
    coll @ sk__28 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl128,plain,
    coll @ sk__28 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).

thf(zip_derived_cl1_054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl132,plain,
    coll @ sk__21 @ sk__28 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl1]) ).

thf(zip_derived_cl170_055,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_cl178,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl170]) ).

thf(zip_derived_cl0_056,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl224,plain,
    coll @ sk__20 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl0]) ).

thf(zip_derived_cl170_057,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_cl317,plain,
    coll @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl170]) ).

thf(ruleX7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
    ? [P: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ N @ C @ D )
        & ( coll @ C @ A @ B )
        & ( coll @ D @ A @ B ) )
     => ( midp @ P @ A @ Q ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X1 @ X2 )
      | ~ ( midp @ X4 @ X3 @ X0 )
      | ~ ( midp @ X5 @ X1 @ X2 )
      | ( midp @ ( sk__6 @ X6 @ X1 ) @ X1 @ X6 ) ),
    inference(cnf,[status(esa)],[ruleX7]) ).

thf(zip_derived_cl2542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( midp @ ( sk__6 @ X3 @ X1 ) @ X1 @ X3 )
      | ~ ( midp @ X4 @ X1 @ X0 )
      | ~ ( midp @ X5 @ X2 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl2543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X0 @ sk__20 @ sk__20 )
      | ~ ( midp @ X1 @ sk__20 @ sk__20 )
      | ( midp @ ( sk__6 @ X2 @ sk__20 ) @ sk__20 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl2542]) ).

thf(zip_derived_cl34030,plain,
    ! [X0: $i,X1: $i] :
      ( ( midp @ ( sk__6 @ X0 @ sk__20 ) @ sk__20 @ X0 )
      | ~ ( midp @ X1 @ sk__20 @ sk__20 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl2543]) ).

thf(zip_derived_cl34031,plain,
    ! [X0: $i] : ( midp @ ( sk__6 @ X0 @ sk__20 ) @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl17333,zip_derived_cl34030]) ).

thf(zip_derived_cl69_058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl39091,plain,
    ! [X0: $i] : ( coll @ ( sk__6 @ X0 @ sk__20 ) @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl34031,zip_derived_cl69]) ).

thf(zip_derived_cl1_059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl39838,plain,
    ! [X0: $i] : ( coll @ sk__20 @ ( sk__6 @ X0 @ sk__20 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl39091,zip_derived_cl1]) ).

thf(zip_derived_cl170_060,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_cl42101,plain,
    ! [X0: $i] : ( coll @ X0 @ X0 @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl39838,zip_derived_cl170]) ).

thf(zip_derived_cl170_061,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_cl42201,plain,
    ! [X0: $i] : ( coll @ sk__20 @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42101,zip_derived_cl170]) ).

thf(zip_derived_cl2_062,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_cl42547,plain,
    ! [X0: $i,X1: $i] :
      ( ( coll @ X0 @ X1 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42201,zip_derived_cl2]) ).

thf(zip_derived_cl42201_063,plain,
    ! [X0: $i] : ( coll @ sk__20 @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42101,zip_derived_cl170]) ).

thf(zip_derived_cl42650,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl42547,zip_derived_cl42201]) ).

thf(zip_derived_cl0_064,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl43009,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42650,zip_derived_cl0]) ).

thf(zip_derived_cl2_065,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_cl43526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ sk__20 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43009,zip_derived_cl2]) ).

thf(zip_derived_cl43009_066,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ sk__20 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42650,zip_derived_cl0]) ).

thf(zip_derived_cl44019,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl43526,zip_derived_cl43009]) ).

thf(zip_derived_cl46343,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl44019]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GEO600+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gKBNkZ3GMH true
% 0.11/0.29  % Computer : n032.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Tue Aug 29 19:45:32 EDT 2023
% 0.11/0.29  % CPUTime  : 
% 0.11/0.29  % Running portfolio for 300 s
% 0.11/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.29  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in FO mode
% 0.14/0.51  % Total configuration time : 435
% 0.14/0.51  % Estimated wc time : 1092
% 0.14/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 49.36/7.58  % Solved by fo/fo5.sh.
% 49.36/7.58  % done 18212 iterations in 6.938s
% 49.36/7.58  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.36/7.58  % SZS output start Refutation
% See solution above
% 49.36/7.59  
% 49.36/7.59  
% 49.36/7.59  % Terminating...
% 49.93/7.67  % Runner terminated.
% 49.93/7.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------