TSTP Solution File: GEO649+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO649+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aJEGZry30H true

% Computer : n013.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 23:59:36 EDT 2023

% Result   : Theorem 58.43s 9.02s
% Output   : Refutation 58.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  182 (  65 unt;  17 typ;   0 def)
%            Number of atoms       :  332 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 1544 ( 103   ~; 101   |;  38   &;1274   @)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  10 con; 0-8 aty)
%            Number of variables   :  461 (   0   ^; 461   !;   0   ?; 461   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__33_type,type,
    sk__33: $i ).

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

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

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

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

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

thf(sk__34_type,type,
    sk__34: $i ).

thf(eqangle_type,type,
    eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

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

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

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

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

thf(cyclic_type,type,
    cyclic: $i > $i > $i > $i > $o ).

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

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

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

thf(sk__23_type,type,
    sk__23: $i ).

thf(exemplo6GDDFULLmoreE02210,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,MIDPNT6: $i,MIDPNT7: $i,MIDPNT8: $i] :
      ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
        & ( circle @ A @ B @ C @ NWPNT3 )
        & ( circle @ A @ B @ D @ NWPNT4 )
        & ( circle @ A @ B @ E @ NWPNT5 )
        & ( coll @ F @ C @ E )
        & ( coll @ F @ B @ D )
        & ( midp @ MIDPNT6 @ E @ F )
        & ( perp @ E @ F @ MIDPNT6 @ G )
        & ( midp @ MIDPNT7 @ E @ B )
        & ( perp @ E @ B @ MIDPNT7 @ G )
        & ( midp @ MIDPNT8 @ F @ B )
        & ( perp @ F @ B @ MIDPNT8 @ G )
        & ( perp @ F @ G @ F @ H ) )
     => ( para @ H @ F @ C @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,MIDPNT6: $i,MIDPNT7: $i,MIDPNT8: $i] :
        ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
          & ( circle @ A @ B @ C @ NWPNT3 )
          & ( circle @ A @ B @ D @ NWPNT4 )
          & ( circle @ A @ B @ E @ NWPNT5 )
          & ( coll @ F @ C @ E )
          & ( coll @ F @ B @ D )
          & ( midp @ MIDPNT6 @ E @ F )
          & ( perp @ E @ F @ MIDPNT6 @ G )
          & ( midp @ MIDPNT7 @ E @ B )
          & ( perp @ E @ B @ MIDPNT7 @ G )
          & ( midp @ MIDPNT8 @ F @ B )
          & ( perp @ F @ B @ MIDPNT8 @ G )
          & ( perp @ F @ G @ F @ H ) )
       => ( para @ H @ F @ C @ D ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE02210]) ).

thf(zip_derived_cl114,plain,
    ~ ( para @ sk__27 @ sk__25 @ sk__22 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD43,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD43]) ).

thf(ruleD41,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( cyclic @ A @ B @ P @ Q )
     => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD41]) ).

thf(ruleD18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl1186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ( eqangle @ X2 @ X3 @ X3 @ X0 @ X1 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl17]) ).

thf(zip_derived_cl4716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X2 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1186]) ).

thf(zip_derived_cl4727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4716]) ).

thf(ruleD40,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD40]) ).

thf(ruleD19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD19]) ).

thf(zip_derived_cl1165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(ruleD42b,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl4356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1165,zip_derived_cl34]) ).

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_cl55,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_cl110,plain,
    perp @ sk__24 @ sk__25 @ sk__33 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl931,plain,
    perp @ sk__24 @ sk__25 @ sk__26 @ sk__33,
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl6]) ).

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_cl998,plain,
    perp @ sk__26 @ sk__33 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl931,zip_derived_cl7]) ).

thf(ruleD55,axiom,
    ! [A: $i,B: $i,M: $i,O: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( perp @ O @ M @ A @ B ) )
     => ( cong @ O @ A @ O @ B ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( perp @ X3 @ X0 @ X1 @ X2 )
      | ( cong @ X3 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD55]) ).

thf(zip_derived_cl1492,plain,
    ( ( cong @ sk__26 @ sk__24 @ sk__26 @ sk__25 )
    | ~ ( midp @ sk__33 @ sk__24 @ sk__25 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl47]) ).

thf(zip_derived_cl109,plain,
    midp @ sk__33 @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1504,plain,
    cong @ sk__26 @ sk__24 @ sk__26 @ sk__25,
    inference(demod,[status(thm)],[zip_derived_cl1492,zip_derived_cl109]) ).

thf(ruleD25,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( cong @ A @ B @ C @ D )
        & ( cong @ C @ D @ E @ F ) )
     => ( cong @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl1782,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ sk__26 @ sk__24 @ X1 @ X0 )
      | ~ ( cong @ sk__26 @ sk__25 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1504,zip_derived_cl24]) ).

thf(zip_derived_cl998_001,plain,
    perp @ sk__26 @ sk__33 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl931,zip_derived_cl7]) ).

thf(zip_derived_cl6_002,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_cl1230,plain,
    perp @ sk__26 @ sk__33 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl6]) ).

thf(zip_derived_cl47_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( perp @ X3 @ X0 @ X1 @ X2 )
      | ( cong @ X3 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD55]) ).

thf(zip_derived_cl1493,plain,
    ( ( cong @ sk__26 @ sk__25 @ sk__26 @ sk__24 )
    | ~ ( midp @ sk__33 @ sk__25 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl47]) ).

thf(zip_derived_cl109_004,plain,
    midp @ sk__33 @ sk__24 @ sk__25,
    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_cl811,plain,
    midp @ sk__33 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl10]) ).

thf(zip_derived_cl1505,plain,
    cong @ sk__26 @ sk__25 @ sk__26 @ sk__24,
    inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl811]) ).

thf(zip_derived_cl12300,plain,
    cong @ sk__26 @ sk__24 @ sk__26 @ sk__24,
    inference('sup+',[status(thm)],[zip_derived_cl1782,zip_derived_cl1505]) ).

thf(zip_derived_cl24547,plain,
    ( ~ ( coll @ sk__26 @ sk__24 @ sk__24 )
    | ( midp @ sk__26 @ sk__24 @ sk__24 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl12300]) ).

thf(zip_derived_cl811_005,plain,
    midp @ sk__33 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl10]) ).

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

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl829,plain,
    coll @ sk__33 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl811,zip_derived_cl57]) ).

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_cl870,plain,
    coll @ sk__25 @ sk__33 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl829,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_cl896,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__33 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl870,zip_derived_cl2]) ).

thf(zip_derived_cl57_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl109_007,plain,
    midp @ sk__33 @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl815,plain,
    coll @ sk__33 @ sk__24 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl109]) ).

thf(zip_derived_cl2_008,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_cl846,plain,
    ! [X0: $i] :
      ( ( coll @ sk__25 @ X0 @ sk__33 )
      | ~ ( coll @ sk__33 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl2]) ).

thf(zip_derived_cl815_009,plain,
    coll @ sk__33 @ sk__24 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl109]) ).

thf(zip_derived_cl1075,plain,
    coll @ sk__25 @ sk__25 @ sk__33,
    inference('sup+',[status(thm)],[zip_derived_cl846,zip_derived_cl815]) ).

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_cl1078,plain,
    coll @ sk__25 @ sk__33 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1075,zip_derived_cl0]) ).

thf(zip_derived_cl1438,plain,
    coll @ sk__24 @ sk__25 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl896,zip_derived_cl1078]) ).

thf(zip_derived_cl1_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1444,plain,
    coll @ sk__25 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl1438,zip_derived_cl1]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1448,plain,
    coll @ sk__25 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1444,zip_derived_cl0]) ).

thf(zip_derived_cl2_012,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_cl1470,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1448,zip_derived_cl2]) ).

thf(zip_derived_cl113,plain,
    perp @ sk__25 @ sk__26 @ sk__25 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD9,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( perp @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl974,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__25 @ sk__26 @ X1 @ X0 )
      | ~ ( perp @ sk__25 @ sk__27 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl8]) ).

thf(zip_derived_cl113_013,plain,
    perp @ sk__25 @ sk__26 @ sk__25 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_014,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_cl976,plain,
    perp @ sk__25 @ sk__27 @ sk__25 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl7]) ).

thf(zip_derived_cl3574,plain,
    para @ sk__25 @ sk__26 @ sk__25 @ sk__26,
    inference('sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl976]) ).

thf(ruleD66,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( para @ A @ B @ A @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl5128,plain,
    coll @ sk__25 @ sk__26 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl3574,zip_derived_cl54]) ).

thf(zip_derived_cl2_015,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_cl838,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_cl5139,plain,
    coll @ sk__26 @ sk__26 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl838]) ).

thf(zip_derived_cl838_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_cl5153,plain,
    coll @ sk__25 @ sk__25 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl5139,zip_derived_cl838]) ).

thf(zip_derived_cl6910,plain,
    coll @ sk__24 @ sk__26 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl1470,zip_derived_cl5153]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl6960,plain,
    coll @ sk__24 @ sk__25 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl6910,zip_derived_cl0]) ).

thf(zip_derived_cl107,plain,
    coll @ sk__25 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_018,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_cl835,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).

thf(zip_derived_cl107_019,plain,
    coll @ sk__25 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl984,plain,
    coll @ sk__24 @ sk__24 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl835,zip_derived_cl107]) ).

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_cl987,plain,
    coll @ sk__24 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl984,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_cl989,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl987,zip_derived_cl2]) ).

thf(zip_derived_cl6974,plain,
    coll @ sk__24 @ sk__26 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl6960,zip_derived_cl989]) ).

thf(zip_derived_cl1_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl7017,plain,
    coll @ sk__26 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl6974,zip_derived_cl1]) ).

thf(zip_derived_cl24554,plain,
    midp @ sk__26 @ sk__24 @ sk__24,
    inference(demod,[status(thm)],[zip_derived_cl24547,zip_derived_cl7017]) ).

thf(zip_derived_cl112,plain,
    perp @ sk__24 @ sk__21 @ sk__34 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl971,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__24 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__34 @ sk__26 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl8]) ).

thf(zip_derived_cl112_024,plain,
    perp @ sk__24 @ sk__21 @ sk__34 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_025,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_cl973,plain,
    perp @ sk__34 @ sk__26 @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl7]) ).

thf(zip_derived_cl3566,plain,
    para @ sk__24 @ sk__21 @ sk__24 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl973]) ).

thf(ruleD64,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ C @ B @ D )
        & ( para @ A @ D @ B @ C ) )
     => ( midp @ M @ C @ D ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD64]) ).

thf(zip_derived_cl5044,plain,
    ! [X0: $i] :
      ( ( midp @ X0 @ sk__21 @ sk__21 )
      | ~ ( midp @ X0 @ sk__24 @ sk__24 )
      | ~ ( para @ sk__24 @ sk__21 @ sk__24 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3566,zip_derived_cl52]) ).

thf(zip_derived_cl3566_026,plain,
    para @ sk__24 @ sk__21 @ sk__24 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl973]) ).

thf(zip_derived_cl5054,plain,
    ! [X0: $i] :
      ( ( midp @ X0 @ sk__21 @ sk__21 )
      | ~ ( midp @ X0 @ sk__24 @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5044,zip_derived_cl3566]) ).

thf(zip_derived_cl24573,plain,
    midp @ sk__26 @ sk__21 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl24554,zip_derived_cl5054]) ).

thf(ruleD63,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ M @ C @ D ) )
     => ( para @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ~ ( midp @ X4 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD63]) ).

thf(zip_derived_cl1554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X0 )
      | ( para @ X1 @ X1 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl24581,plain,
    para @ sk__21 @ sk__21 @ sk__21 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl24573,zip_derived_cl1554]) ).

thf(zip_derived_cl1165_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(ruleD39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl4354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1165,zip_derived_cl30]) ).

thf(zip_derived_cl63890,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl24581,zip_derived_cl4354]) ).

thf(zip_derived_cl63890_028,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl24581,zip_derived_cl4354]) ).

thf(zip_derived_cl54_029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl63919,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl63890,zip_derived_cl54]) ).

thf(zip_derived_cl838_030,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_cl63988,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl63919,zip_derived_cl838]) ).

thf(zip_derived_cl65207,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl4356,zip_derived_cl63890,zip_derived_cl63988]) ).

thf(ruleD15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl65218,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl65207,zip_derived_cl14]) ).

thf(ruleD14,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD14]) ).

thf(zip_derived_cl65932,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl65218,zip_derived_cl13]) ).

thf(ruleD16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ B @ A @ C @ D ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD16]) ).

thf(zip_derived_cl65988,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl65932,zip_derived_cl15]) ).

thf(ruleD17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl66066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65988,zip_derived_cl16]) ).

thf(zip_derived_cl65988_031,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl65932,zip_derived_cl15]) ).

thf(zip_derived_cl66086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl66066,zip_derived_cl65988]) ).

thf(zip_derived_cl66086_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl66066,zip_derived_cl65988]) ).

thf(zip_derived_cl66086_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl66066,zip_derived_cl65988]) ).

thf(zip_derived_cl66183,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4727,zip_derived_cl66086,zip_derived_cl66086,zip_derived_cl66086]) ).

thf(ruleD56,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD56]) ).

thf(zip_derived_cl66190,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66183,zip_derived_cl48]) ).

thf(zip_derived_cl66183_034,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4727,zip_derived_cl66086,zip_derived_cl66086,zip_derived_cl66086]) ).

thf(zip_derived_cl66213,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl66190,zip_derived_cl66183]) ).

thf(zip_derived_cl7_035,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_cl66282,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl66213,zip_derived_cl7]) ).

thf(zip_derived_cl8_036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl66300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X2 @ X1 @ X4 @ X3 )
      | ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66282,zip_derived_cl8]) ).

thf(zip_derived_cl66213_037,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl66190,zip_derived_cl66183]) ).

thf(zip_derived_cl66374,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl66300,zip_derived_cl66213]) ).

thf(zip_derived_cl66421,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl66374]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO649+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aJEGZry30H true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 21:27:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.71/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.71/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.71/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.71/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 58.43/9.02  % Solved by fo/fo3_bce.sh.
% 58.43/9.02  % BCE start: 115
% 58.43/9.02  % BCE eliminated: 1
% 58.43/9.02  % PE start: 114
% 58.43/9.02  logic: eq
% 58.43/9.02  % PE eliminated: 0
% 58.43/9.02  % done 13978 iterations in 8.246s
% 58.43/9.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 58.43/9.02  % SZS output start Refutation
% See solution above
% 58.43/9.02  
% 58.43/9.02  
% 58.43/9.02  % Terminating...
% 58.65/9.09  % Runner terminated.
% 58.65/9.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------