TSTP Solution File: GEO571+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO571+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.5bqEkVcffD true

% Computer : n025.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 23:59:12 EDT 2023

% Result   : Theorem 22.13s 3.81s
% Output   : Refutation 22.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  182 (  71 unt;  14 typ;   0 def)
%            Number of atoms       :  331 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives : 1688 ( 101   ~;  99   |;  34   &;1424   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   7 con; 0-8 aty)
%            Number of variables   :  567 (   0   ^; 567   !;   0   ?; 567   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(exemplo6GDDFULL214033,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,I: $i,E: $i,F: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( coll @ I @ A @ B )
        & ( coll @ I @ C @ D )
        & ( perp @ C @ D @ D @ E )
        & ( perp @ A @ B @ A @ E )
        & ( perp @ C @ D @ C @ F )
        & ( perp @ A @ B @ B @ F ) )
     => ( eqangle @ A @ I @ I @ E @ F @ I @ I @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,I: $i,E: $i,F: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( coll @ I @ A @ B )
          & ( coll @ I @ C @ D )
          & ( perp @ C @ D @ D @ E )
          & ( perp @ A @ B @ A @ E )
          & ( perp @ C @ D @ C @ F )
          & ( perp @ A @ B @ B @ F ) )
       => ( eqangle @ A @ I @ I @ E @ F @ I @ I @ C ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214033]) ).

thf(zip_derived_cl121,plain,
    ~ ( eqangle @ sk__20 @ sk__25 @ sk__25 @ sk__26 @ sk__27 @ sk__25 @ sk__25 @ sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD54,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( para @ A @ B @ C @ D ) )
     => ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD54]) ).

thf(zip_derived_cl118,plain,
    perp @ sk__20 @ sk__21 @ sk__20 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl340,plain,
    perp @ sk__20 @ sk__26 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl7]) ).

thf(zip_derived_cl118_001,plain,
    perp @ sk__20 @ sk__21 @ sk__20 @ sk__26,
    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_cl353,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__20 @ sk__26 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl8]) ).

thf(zip_derived_cl1419,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl353]) ).

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_cl39,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_cl1423,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1419,zip_derived_cl39]) ).

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_cl43,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_cl1531,plain,
    ! [X0: $i] :
      ( ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
      | ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__21 )
      | ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ X0 )
      | ( cong @ sk__21 @ X0 @ sk__21 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1423,zip_derived_cl43]) ).

thf(zip_derived_cl4893,plain,
    ( ( cong @ sk__21 @ sk__20 @ sk__21 @ sk__20 )
    | ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__20 )
    | ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__21 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1531]) ).

thf(zip_derived_cl115,plain,
    coll @ sk__25 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl122,plain,
    coll @ sk__25 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl0]) ).

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_cl127,plain,
    coll @ sk__21 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl122,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_cl160,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_cl165,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl160]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl188,plain,
    coll @ sk__20 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl0]) ).

thf(zip_derived_cl160_003,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_cl239,plain,
    coll @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl160]) ).

thf(zip_derived_cl1423_004,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1419,zip_derived_cl39]) ).

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_cl42,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_cl1530,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1423,zip_derived_cl42]) ).

thf(zip_derived_cl1544,plain,
    cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl1530]) ).

thf(zip_derived_cl165_005,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl160]) ).

thf(zip_derived_cl1530_006,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1423,zip_derived_cl42]) ).

thf(zip_derived_cl1545,plain,
    cyclic @ sk__21 @ sk__21 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl1530]) ).

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_cl1558,plain,
    cyclic @ sk__21 @ sk__20 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1545,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_cl1605,plain,
    cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1558,zip_derived_cl13]) ).

thf(zip_derived_cl4894,plain,
    cong @ sk__21 @ sk__20 @ sk__21 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl4893,zip_derived_cl1544,zip_derived_cl1605]) ).

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_cl1423_007,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1419,zip_derived_cl39]) ).

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_cl1525,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl1423,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_cl38,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_cl4779,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl38]) ).

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

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl6904,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4779,zip_derived_cl66]) ).

thf(zip_derived_cl160_008,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_cl6926,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl6904,zip_derived_cl160]) ).

thf(zip_derived_cl2_009,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_cl7627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6926,zip_derived_cl2]) ).

thf(zip_derived_cl6926_010,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl6904,zip_derived_cl160]) ).

thf(zip_derived_cl7640,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7627,zip_derived_cl6926]) ).

thf(zip_derived_cl7646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl7640]) ).

thf(zip_derived_cl7940,plain,
    midp @ sk__21 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl4894,zip_derived_cl7646]) ).

thf(zip_derived_cl4779_011,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1525,zip_derived_cl38]) ).

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_cl64,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_cl1313,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl6910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4779,zip_derived_cl1313]) ).

thf(zip_derived_cl7961,plain,
    ! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7940,zip_derived_cl6910]) ).

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_cl7964,plain,
    ! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7961,zip_derived_cl68]) ).

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_cl56,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_cl8126,plain,
    ! [X0: $i,X1: $i] :
      ( ( perp @ sk__21 @ sk__21 @ X0 @ X1 )
      | ~ ( cong @ sk__21 @ X1 @ sk__21 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7964,zip_derived_cl56]) ).

thf(zip_derived_cl7964_012,plain,
    ! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7961,zip_derived_cl68]) ).

thf(zip_derived_cl8132,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl8126,zip_derived_cl7964]) ).

thf(zip_derived_cl7_013,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_cl8159,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__21 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl8132,zip_derived_cl7]) ).

thf(zip_derived_cl8_014,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_cl8168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X1 @ X0 @ X3 @ X2 )
      | ~ ( perp @ sk__21 @ sk__21 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8159,zip_derived_cl8]) ).

thf(zip_derived_cl8132_015,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl8126,zip_derived_cl7964]) ).

thf(zip_derived_cl8214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl8132]) ).

thf(zip_derived_cl8230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl8214]) ).

thf(ruleD13,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C )
        & ( cong @ O @ A @ O @ D ) )
     => ( cyclic @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X1 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X2 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD13]) ).

thf(zip_derived_cl68_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl7961_017,plain,
    ! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7940,zip_derived_cl6910]) ).

thf(zip_derived_cl340_018,plain,
    perp @ sk__20 @ sk__26 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl118,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_cl372,plain,
    perp @ sk__20 @ sk__26 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl6]) ).

thf(zip_derived_cl353_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__20 @ sk__26 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl8]) ).

thf(zip_derived_cl1420,plain,
    para @ sk__20 @ sk__21 @ sk__21 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl353]) ).

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_cl1447,plain,
    para @ sk__21 @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1420,zip_derived_cl4]) ).

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_cl1482,plain,
    ! [X0: $i] :
      ( ( midp @ sk__20 @ X0 @ sk__21 )
      | ~ ( coll @ sk__20 @ X0 @ sk__21 )
      | ~ ( midp @ sk__21 @ X0 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl45]) ).

thf(zip_derived_cl7640_020,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7627,zip_derived_cl6926]) ).

thf(zip_derived_cl7653,plain,
    ! [X0: $i] :
      ( ( midp @ sk__20 @ X0 @ sk__21 )
      | ~ ( midp @ sk__21 @ X0 @ sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl7640]) ).

thf(zip_derived_cl7974,plain,
    midp @ sk__20 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl7961,zip_derived_cl7653]) ).

thf(zip_derived_cl1313_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl8214_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl8132]) ).

thf(zip_derived_cl8233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1313,zip_derived_cl8214]) ).

thf(zip_derived_cl8234,plain,
    ! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7974,zip_derived_cl8233]) ).

thf(zip_derived_cl64_023,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_cl8214_024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl8132]) ).

thf(zip_derived_cl8214_025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl8132]) ).

thf(zip_derived_cl8231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl8214,zip_derived_cl8214]) ).

thf(zip_derived_cl8261,plain,
    ! [X1: $i,X2: $i] : ( midp @ sk__20 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8234,zip_derived_cl8231]) ).

thf(zip_derived_cl7964_026,plain,
    ! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7961,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_cl383,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_cl8128,plain,
    ! [X0: $i] : ( circle @ sk__21 @ X0 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7964,zip_derived_cl383]) ).

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_cl7640_027,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7627,zip_derived_cl6926]) ).

thf(zip_derived_cl7644,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl7640]) ).

thf(zip_derived_cl8137,plain,
    ! [X0: $i] : ( perp @ X0 @ X0 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl8128,zip_derived_cl7644]) ).

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_cl8145,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X1 )
      | ~ ( midp @ X1 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8137,zip_derived_cl52]) ).

thf(zip_derived_cl8278,plain,
    ! [X0: $i] : ( cong @ X0 @ sk__20 @ X0 @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl8261,zip_derived_cl8145]) ).

thf(zip_derived_cl7646_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl7640]) ).

thf(zip_derived_cl8529,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__20 @ sk__20 ),
    inference('sup-',[status(thm)],[zip_derived_cl8278,zip_derived_cl7646]) ).

thf(zip_derived_cl8231_029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl8214,zip_derived_cl8214]) ).

thf(zip_derived_cl8541,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( midp @ X0 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8529,zip_derived_cl8231]) ).

thf(zip_derived_cl8544,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl8541]) ).

thf(zip_derived_cl8544_030,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl8541]) ).

thf(zip_derived_cl8544_031,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl8541]) ).

thf(zip_derived_cl8646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X0 @ X1 @ X2 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl8544,zip_derived_cl8544,zip_derived_cl8544]) ).

thf(zip_derived_cl9631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl8230,zip_derived_cl8646]) ).

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_cl9633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X2 @ X3 @ X1 @ X2 @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl9631,zip_derived_cl17]) ).

thf(zip_derived_cl18_032,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_cl9699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X1 @ X2 @ X2 @ X3 @ X1 @ X0 @ X1 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl9633,zip_derived_cl18]) ).

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_cl9842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X1 @ X0 @ X0 @ X3 @ X7 @ X6 @ X5 @ X4 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9699,zip_derived_cl21]) ).

thf(zip_derived_cl39_033,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_cl8214_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl8132]) ).

thf(zip_derived_cl8229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl8214]) ).

thf(ruleD50,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( midp @ M @ B @ C ) )
     => ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( midp @ X4 @ X2 @ X3 )
      | ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD50]) ).

thf(zip_derived_cl8541_035,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( midp @ X0 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8529,zip_derived_cl8231]) ).

thf(zip_derived_cl8543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl8541]) ).

thf(zip_derived_cl11_036,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_cl8544_037,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl8541]) ).

thf(zip_derived_cl8544_038,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl8541]) ).

thf(zip_derived_cl8645,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( circle @ X0 @ X1 @ X2 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl8544,zip_derived_cl8544]) ).

thf(zip_derived_cl8947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 ),
    inference(demod,[status(thm)],[zip_derived_cl8543,zip_derived_cl8645]) ).

thf(zip_derived_cl21_039,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_cl8948,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( eqangle @ X4 @ X2 @ X4 @ X3 @ X8 @ X7 @ X6 @ X5 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X0 @ X8 @ X7 @ X6 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8947,zip_derived_cl21]) ).

thf(zip_derived_cl9974,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( eqangle @ X6 @ X4 @ X6 @ X5 @ X3 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl8229,zip_derived_cl8948]) ).

thf(zip_derived_cl15029,plain,
    ! [X0: $i,X1: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X1 @ X0 @ X0 @ X3 @ X7 @ X6 @ X5 @ X4 ),
    inference(demod,[status(thm)],[zip_derived_cl9842,zip_derived_cl9974]) ).

thf(zip_derived_cl15030,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl15029]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO571+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.5bqEkVcffD true
% 0.16/0.35  % Computer : n025.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Aug 29 19:47:10 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.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/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.13/3.81  % Solved by fo/fo5.sh.
% 22.13/3.81  % done 6292 iterations in 3.026s
% 22.13/3.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.13/3.81  % SZS output start Refutation
% See solution above
% 22.58/3.81  
% 22.58/3.81  
% 22.58/3.81  % Terminating...
% 22.58/3.86  % Runner terminated.
% 22.58/3.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------