TSTP Solution File: GEO599+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO599+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.Gs4tOWQR8c 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 : Wed Aug 30 23:59:20 EDT 2023

% Result   : Theorem 172.75s 25.51s
% Output   : Refutation 172.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  190 (  63 unt;  15 typ;   0 def)
%            Number of atoms       :  370 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives : 1946 ( 130   ~; 141   |;  32   &;1621   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   8 con; 0-8 aty)
%            Number of variables   :  520 (   0   ^; 520   !;   0   ?; 520   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(exemplo6GDDFULL618061,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
      ( ( ( circle @ D @ A @ B @ C )
        & ( midp @ E @ B @ A )
        & ( coll @ F @ D @ E )
        & ( circle @ F @ A @ NWPNT1 @ NWPNT2 )
        & ( coll @ G @ B @ C )
        & ( circle @ F @ A @ G @ NWPNT3 ) )
     => ( ( eqangle @ D @ A @ A @ F @ C @ A @ A @ G )
        & ( ( eqangle @ A @ D @ D @ F @ A @ C @ C @ G )
          | ( eqangle @ D @ A @ A @ F @ C @ A @ A @ G ) )
        & ( ( eqangle @ A @ D @ D @ F @ A @ G @ G @ C )
          | ( eqangle @ D @ A @ A @ F @ A @ C @ C @ G ) )
        & ( ( eqangle @ A @ D @ D @ F @ C @ A @ A @ G )
          | ( eqangle @ D @ A @ A @ F @ A @ C @ C @ G ) )
        & ( ( eqangle @ A @ D @ D @ F @ A @ G @ G @ C )
          | ( eqangle @ D @ A @ A @ F @ A @ G @ G @ C ) )
        & ( ( eqangle @ A @ D @ D @ F @ C @ A @ A @ G )
          | ( eqangle @ D @ A @ A @ F @ A @ G @ G @ C ) )
        & ( eqangle @ A @ D @ D @ F @ A @ C @ C @ G ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
        ( ( ( circle @ D @ A @ B @ C )
          & ( midp @ E @ B @ A )
          & ( coll @ F @ D @ E )
          & ( circle @ F @ A @ NWPNT1 @ NWPNT2 )
          & ( coll @ G @ B @ C )
          & ( circle @ F @ A @ G @ NWPNT3 ) )
       => ( ( eqangle @ D @ A @ A @ F @ C @ A @ A @ G )
          & ( ( eqangle @ A @ D @ D @ F @ A @ C @ C @ G )
            | ( eqangle @ D @ A @ A @ F @ C @ A @ A @ G ) )
          & ( ( eqangle @ A @ D @ D @ F @ A @ G @ G @ C )
            | ( eqangle @ D @ A @ A @ F @ A @ C @ C @ G ) )
          & ( ( eqangle @ A @ D @ D @ F @ C @ A @ A @ G )
            | ( eqangle @ D @ A @ A @ F @ A @ C @ C @ G ) )
          & ( ( eqangle @ A @ D @ D @ F @ A @ G @ G @ C )
            | ( eqangle @ D @ A @ A @ F @ A @ G @ G @ C ) )
          & ( ( eqangle @ A @ D @ D @ F @ C @ A @ A @ G )
            | ( eqangle @ D @ A @ A @ F @ A @ G @ G @ C ) )
          & ( eqangle @ A @ D @ D @ F @ A @ C @ C @ G ) ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618061]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 )
    | ~ ( eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__20 @ sk__26 @ sk__26 @ sk__22 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__20 @ sk__26 @ sk__26 @ sk__22 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__20 @ sk__22 @ sk__22 @ sk__26 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3311,plain,
    ( ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__20 @ sk__22 @ sk__22 @ sk__26 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 )
    | ~ ( eqangle @ sk__20 @ sk__23 @ sk__23 @ sk__25 @ sk__20 @ sk__26 @ sk__26 @ sk__22 )
    | ~ ( eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__25 @ sk__22 @ sk__20 @ sk__20 @ sk__26 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl112]) ).

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_cl1641,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(zip_derived_cl31_001,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(ruleD22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
      | ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
    inference(cnf,[status(esa)],[ruleD22]) ).

thf(zip_derived_cl1639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ~ ( eqangle @ X3 @ X2 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).

thf(zip_derived_cl4418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( para @ X5 @ X4 @ X1 @ X0 )
      | ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( para @ X7 @ X6 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1641,zip_derived_cl1639]) ).

thf(zip_derived_cl31_002,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(ruleD21,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 @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).

thf(zip_derived_cl20,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 @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD21]) ).

thf(zip_derived_cl1643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).

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_cl4508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ~ ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1643,zip_derived_cl34]) ).

thf(zip_derived_cl1643_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).

thf(ruleD42a,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ~ ( coll @ P @ Q @ A ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ( coll @ X2 @ X3 @ X0 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42a]) ).

thf(zip_derived_cl4507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1643,zip_derived_cl33]) ).

thf(zip_derived_cl50635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X0 @ X0 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4508,zip_derived_cl4507]) ).

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_cl45,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_cl102,plain,
    circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1897,plain,
    ( ~ ( coll @ sk__23 @ sk__20 @ sk__22 )
    | ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl102]) ).

thf(zip_derived_cl103,plain,
    midp @ sk__24 @ sk__21 @ sk__20,
    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_cl1260,plain,
    midp @ sk__24 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl103,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_cl1281,plain,
    coll @ sk__24 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1260,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_cl1302,plain,
    coll @ sk__20 @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1281,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_cl1279,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_cl1449,plain,
    coll @ sk__21 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1302,zip_derived_cl1279]) ).

thf(zip_derived_cl2_004,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_cl1503,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__21 )
      | ~ ( coll @ sk__21 @ sk__21 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1449,zip_derived_cl2]) ).

thf(zip_derived_cl106,plain,
    coll @ sk__26 @ sk__21 @ sk__22,
    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_cl1253,plain,
    coll @ sk__26 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl106,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_cl1265,plain,
    coll @ sk__22 @ sk__26 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1253,zip_derived_cl1]) ).

thf(zip_derived_cl2_006,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_cl1287,plain,
    ! [X0: $i] :
      ( ( coll @ sk__21 @ X0 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__26 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1265,zip_derived_cl2]) ).

thf(zip_derived_cl1265_007,plain,
    coll @ sk__22 @ sk__26 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1253,zip_derived_cl1]) ).

thf(zip_derived_cl1422,plain,
    coll @ sk__21 @ sk__21 @ sk__22,
    inference('sup+',[status(thm)],[zip_derived_cl1287,zip_derived_cl1265]) ).

thf(zip_derived_cl2917,plain,
    coll @ sk__20 @ sk__22 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl1422]) ).

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_cl2939,plain,
    coll @ sk__20 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl2917,zip_derived_cl0]) ).

thf(zip_derived_cl1_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl2955,plain,
    coll @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl2939,zip_derived_cl1]) ).

thf(zip_derived_cl57_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl103_011,plain,
    midp @ sk__24 @ sk__21 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1262,plain,
    coll @ sk__24 @ sk__21 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl103]) ).

thf(zip_derived_cl1_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1286,plain,
    coll @ sk__21 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1262,zip_derived_cl1]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1304,plain,
    coll @ sk__21 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1286,zip_derived_cl0]) ).

thf(zip_derived_cl2_014,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_cl1313,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__21 )
      | ~ ( coll @ sk__21 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl2]) ).

thf(zip_derived_cl1_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl2177,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__20 @ X0 )
      | ( coll @ X0 @ sk__24 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1313,zip_derived_cl1]) ).

thf(zip_derived_cl5045,plain,
    coll @ sk__22 @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl2955,zip_derived_cl2177]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl5055,plain,
    coll @ sk__22 @ sk__21 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl5045,zip_derived_cl0]) ).

thf(zip_derived_cl1279_017,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_cl5071,plain,
    coll @ sk__24 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl5055,zip_derived_cl1279]) ).

thf(zip_derived_cl104,plain,
    coll @ sk__25 @ sk__23 @ 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_cl1275,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__23 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl2]) ).

thf(zip_derived_cl104_019,plain,
    coll @ sk__25 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1333,plain,
    coll @ sk__24 @ sk__24 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl1275,zip_derived_cl104]) ).

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_cl1336,plain,
    coll @ sk__24 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1333,zip_derived_cl0]) ).

thf(zip_derived_cl104_021,plain,
    coll @ sk__25 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl1252,plain,
    coll @ sk__25 @ sk__24 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl0]) ).

thf(zip_derived_cl1_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1257,plain,
    coll @ sk__24 @ sk__25 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl1]) ).

thf(zip_derived_cl2_024,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_cl1274,plain,
    ! [X0: $i] :
      ( ( coll @ sk__23 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1257,zip_derived_cl2]) ).

thf(zip_derived_cl1341,plain,
    coll @ sk__23 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl1274]) ).

thf(zip_derived_cl1_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1349,plain,
    coll @ sk__24 @ sk__23 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1341,zip_derived_cl1]) ).

thf(zip_derived_cl0_026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1351,plain,
    coll @ sk__24 @ sk__24 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1349,zip_derived_cl0]) ).

thf(zip_derived_cl2_027,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_cl1353,plain,
    ! [X0: $i] :
      ( ( coll @ sk__23 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl2]) ).

thf(zip_derived_cl5126,plain,
    coll @ sk__23 @ sk__22 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl5071,zip_derived_cl1353]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl5241,plain,
    coll @ sk__23 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl5126,zip_derived_cl0]) ).

thf(zip_derived_cl1353_029,plain,
    ! [X0: $i] :
      ( ( coll @ sk__23 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl2]) ).

thf(zip_derived_cl1262_030,plain,
    coll @ sk__24 @ sk__21 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl103]) ).

thf(zip_derived_cl2_031,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_cl1284,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__21 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1262,zip_derived_cl2]) ).

thf(zip_derived_cl1262_032,plain,
    coll @ sk__24 @ sk__21 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl103]) ).

thf(zip_derived_cl1408,plain,
    coll @ sk__20 @ sk__20 @ sk__24,
    inference('sup+',[status(thm)],[zip_derived_cl1284,zip_derived_cl1262]) ).

thf(zip_derived_cl1279_033,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_cl1446,plain,
    coll @ sk__24 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1408,zip_derived_cl1279]) ).

thf(zip_derived_cl1770,plain,
    coll @ sk__23 @ sk__20 @ sk__24,
    inference('sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl1446]) ).

thf(zip_derived_cl0_034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1784,plain,
    coll @ sk__23 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1770,zip_derived_cl0]) ).

thf(zip_derived_cl2_035,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_cl1794,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__23 )
      | ~ ( coll @ sk__23 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1784,zip_derived_cl2]) ).

thf(zip_derived_cl5558,plain,
    coll @ sk__20 @ sk__22 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl1794]) ).

thf(zip_derived_cl0_036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl5830,plain,
    coll @ sk__20 @ sk__23 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl5558,zip_derived_cl0]) ).

thf(zip_derived_cl1_037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl6037,plain,
    coll @ sk__23 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl5830,zip_derived_cl1]) ).

thf(zip_derived_cl7309,plain,
    perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1897,zip_derived_cl6037]) ).

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_cl7310,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7309,zip_derived_cl8]) ).

thf(zip_derived_cl7309_038,plain,
    perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1897,zip_derived_cl6037]) ).

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_cl7312,plain,
    perp @ sk__21 @ sk__22 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl7309,zip_derived_cl7]) ).

thf(zip_derived_cl109425,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl7310,zip_derived_cl7312]) ).

thf(zip_derived_cl1641_039,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_cl4402,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_cl1641,zip_derived_cl30]) ).

thf(zip_derived_cl109716,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl109425,zip_derived_cl4402]) ).

thf(zip_derived_cl109815,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl50635,zip_derived_cl109716]) ).

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_cl112312,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X1 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl109815,zip_derived_cl14]) ).

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(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(zip_derived_cl1684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).

thf(zip_derived_cl1685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1684]) ).

thf(zip_derived_cl5249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1685]) ).

thf(zip_derived_cl113114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ X1 @ X0 @ X1 @ X1 )
      | ( cong @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112312,zip_derived_cl5249]) ).

thf(zip_derived_cl33_040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ( coll @ X2 @ X3 @ X0 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42a]) ).

thf(zip_derived_cl31_041,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(zip_derived_cl1673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X1 @ X1 @ X2 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

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_cl5028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X0 @ X2 @ X0 @ X2 )
      | ( coll @ X0 @ X0 @ X2 )
      | ( cyclic @ X1 @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl15]) ).

thf(zip_derived_cl1641_042,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(zip_derived_cl34_043,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_cl4404,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_cl1641,zip_derived_cl34]) ).

thf(zip_derived_cl64578,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X1 @ X2 @ X0 @ X0 )
      | ~ ( para @ X0 @ X2 @ X0 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5028,zip_derived_cl4404]) ).

thf(zip_derived_cl109716_044,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl109425,zip_derived_cl4402]) ).

thf(zip_derived_cl109816,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl64578,zip_derived_cl109716]) ).

thf(zip_derived_cl113145,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl113114,zip_derived_cl109816]) ).

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_cl113432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113145,zip_derived_cl48]) ).

thf(zip_derived_cl113145_045,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl113114,zip_derived_cl109816]) ).

thf(zip_derived_cl113463,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl113432,zip_derived_cl113145]) ).

thf(zip_derived_cl7_046,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_cl113621,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl113463,zip_derived_cl7]) ).

thf(zip_derived_cl8_047,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_cl113721,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_cl113621,zip_derived_cl8]) ).

thf(zip_derived_cl113463_048,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl113432,zip_derived_cl113145]) ).

thf(zip_derived_cl113748,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl113721,zip_derived_cl113463]) ).

thf(zip_derived_cl113748_049,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl113721,zip_derived_cl113463]) ).

thf(zip_derived_cl113789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4418,zip_derived_cl113748,zip_derived_cl113748]) ).

thf(zip_derived_cl113789_050,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4418,zip_derived_cl113748,zip_derived_cl113748]) ).

thf(zip_derived_cl113789_051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4418,zip_derived_cl113748,zip_derived_cl113748]) ).

thf(zip_derived_cl113789_052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4418,zip_derived_cl113748,zip_derived_cl113748]) ).

thf(zip_derived_cl115195,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3311,zip_derived_cl113789,zip_derived_cl113789,zip_derived_cl113789,zip_derived_cl113789]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Gs4tOWQR8c true
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 20:51:30 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 172.75/25.51  % Solved by fo/fo3_bce.sh.
% 172.75/25.51  % BCE start: 139
% 172.75/25.51  % BCE eliminated: 1
% 172.75/25.51  % PE start: 138
% 172.75/25.51  logic: eq
% 172.75/25.51  % PE eliminated: 0
% 172.75/25.51  % done 21780 iterations in 24.712s
% 172.75/25.51  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 172.75/25.51  % SZS output start Refutation
% See solution above
% 172.75/25.51  
% 172.75/25.51  
% 172.75/25.52  % Terminating...
% 173.17/25.66  % Runner terminated.
% 173.17/25.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------