TSTP Solution File: GEO637+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO637+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.HGfwkZf5Pd true

% Computer : n017.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 23:59:33 EDT 2023

% Result   : Theorem 1.23s 1.25s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  175 (  65 unt;  16 typ;   0 def)
%            Number of atoms       :  313 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives : 1476 (  98   ~;  96   |;  30   &;1224   @)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-8 aty)
%            Number of variables   :  493 (   0   ^; 492   !;   1   ?; 493   :)

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

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

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

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

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

thf(sk__20_type,type,
    sk__20: $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__24_type,type,
    sk__24: $i ).

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

thf(sk__21_type,type,
    sk__21: $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__6_type,type,
    sk__6: $i > $i > $i ).

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

thf(exemplo6GDDFULL81109101,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,H: $i,D: $i,E: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( midp @ H @ C @ B )
        & ( coll @ D @ O @ H )
        & ( coll @ D @ A @ B )
        & ( perp @ C @ O @ C @ E )
        & ( perp @ A @ O @ A @ E ) )
     => ( cyclic @ A @ O @ E @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,H: $i,D: $i,E: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( midp @ H @ C @ B )
          & ( coll @ D @ O @ H )
          & ( coll @ D @ A @ B )
          & ( perp @ C @ O @ C @ E )
          & ( perp @ A @ O @ A @ E ) )
       => ( cyclic @ A @ O @ E @ D ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL81109101]) ).

thf(zip_derived_cl113,plain,
    ~ ( cyclic @ sk__20 @ sk__23 @ sk__26 @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    midp @ sk__24 @ sk__22 @ sk__21,
    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_cl130,plain,
    midp @ sk__24 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

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

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

thf(zip_derived_cl1127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( para @ X2 @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl1128,plain,
    para @ sk__24 @ sk__24 @ sk__22 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl1127]) ).

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_cl1190,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__24 @ sk__24 @ X1 @ X0 @ sk__22 @ sk__22 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1128,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_cl1268,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__24 @ sk__24 @ X1 @ X0 @ sk__22 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl18]) ).

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_cl1351,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__24 @ sk__24 @ sk__22 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl1268,zip_derived_cl20]) ).

thf(ruleD74,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 )
        & ( perp @ P @ Q @ U @ V ) )
     => ( perp @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD74]) ).

thf(zip_derived_cl1904,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__24 @ sk__24 @ sk__22 @ sk__22 )
      | ( perp @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl74]) ).

thf(zip_derived_cl130_001,plain,
    midp @ sk__24 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(zip_derived_cl117_002,plain,
    midp @ sk__24 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl1575,plain,
    cong @ sk__24 @ sk__22 @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl117,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_cl435,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_cl1607,plain,
    circle @ sk__24 @ sk__22 @ sk__21 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1575,zip_derived_cl435]) ).

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_cl1633,plain,
    ( ~ ( coll @ sk__24 @ sk__22 @ sk__21 )
    | ( perp @ sk__22 @ sk__21 @ sk__21 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1607,zip_derived_cl53]) ).

thf(zip_derived_cl117_003,plain,
    midp @ sk__24 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl132,plain,
    coll @ sk__24 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl69]) ).

thf(zip_derived_cl1634,plain,
    perp @ sk__22 @ sk__21 @ sk__21 @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl1633,zip_derived_cl132]) ).

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_cl1675,plain,
    perp @ sk__21 @ sk__21 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1634,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_cl1734,plain,
    perp @ sk__21 @ sk__21 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl6]) ).

thf(zip_derived_cl130_004,plain,
    midp @ sk__24 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

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

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

thf(zip_derived_cl1351_005,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__24 @ sk__24 @ sk__22 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl1268,zip_derived_cl20]) ).

thf(ruleD73,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 )
        & ( para @ P @ Q @ U @ V ) )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( para @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD73]) ).

thf(zip_derived_cl1903,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( para @ sk__24 @ sk__24 @ sk__22 @ sk__22 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl73]) ).

thf(zip_derived_cl1128_006,plain,
    para @ sk__24 @ sk__24 @ sk__22 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl1127]) ).

thf(zip_derived_cl1910,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1903,zip_derived_cl1128]) ).

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_cl1920,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1910,zip_derived_cl66]) ).

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

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

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

thf(zip_derived_cl1926,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl1920,zip_derived_cl166]) ).

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

thf(zip_derived_cl2073,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1926,zip_derived_cl2]) ).

thf(zip_derived_cl1926_008,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl1920,zip_derived_cl166]) ).

thf(zip_derived_cl2076,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2073,zip_derived_cl1926]) ).

thf(zip_derived_cl2076_009,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2073,zip_derived_cl1926]) ).

thf(zip_derived_cl2197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( midp @ X4 @ X3 @ X0 )
      | ~ ( midp @ X5 @ X1 @ X2 )
      | ( midp @ ( sk__6 @ X6 @ X1 ) @ X1 @ X6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl2076,zip_derived_cl2076]) ).

thf(zip_derived_cl2198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ ( sk__6 @ X0 @ X1 ) @ X1 @ X0 )
      | ~ ( midp @ X3 @ X1 @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl2197]) ).

thf(zip_derived_cl2199,plain,
    ! [X0: $i] : ( midp @ ( sk__6 @ X0 @ sk__21 ) @ sk__21 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2198]) ).

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_cl63,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_cl1467,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X0 )
      | ( para @ X1 @ X1 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl2212,plain,
    ! [X0: $i] : ( para @ sk__21 @ sk__21 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2199,zip_derived_cl1467]) ).

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_cl2221,plain,
    ! [X0: $i] : ( para @ X0 @ X0 @ sk__21 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl2212,zip_derived_cl4]) ).

thf(ruleD10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( perp @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( perp @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD10]) ).

thf(zip_derived_cl2226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X0 @ X0 @ X2 @ X1 )
      | ~ ( perp @ sk__21 @ sk__21 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2221,zip_derived_cl9]) ).

thf(zip_derived_cl2260,plain,
    ! [X0: $i] : ( perp @ X0 @ X0 @ sk__21 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl2226]) ).

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_cl2266,plain,
    ! [X0: $i] :
      ( ( cong @ sk__21 @ X0 @ sk__21 @ X0 )
      | ~ ( midp @ X0 @ sk__21 @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2260,zip_derived_cl52]) ).

thf(zip_derived_cl2537,plain,
    cong @ sk__21 @ sk__24 @ sk__21 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2266]) ).

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_cl1334,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X2 @ X1 @ X0 @ X0 )
      | ~ ( cong @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl2560,plain,
    perp @ sk__21 @ sk__21 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl2537,zip_derived_cl1334]) ).

thf(zip_derived_cl2199_010,plain,
    ! [X0: $i] : ( midp @ ( sk__6 @ X0 @ sk__21 ) @ sk__21 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2198]) ).

thf(zip_derived_cl10_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl2209,plain,
    ! [X0: $i] : ( midp @ ( sk__6 @ X0 @ sk__21 ) @ X0 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl2199,zip_derived_cl10]) ).

thf(zip_derived_cl2198_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ ( sk__6 @ X0 @ X1 ) @ X1 @ X0 )
      | ~ ( midp @ X3 @ X1 @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl2197]) ).

thf(zip_derived_cl2316,plain,
    ! [X0: $i,X1: $i] : ( midp @ ( sk__6 @ X1 @ X0 ) @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl2209,zip_derived_cl2198]) ).

thf(zip_derived_cl1467_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X0 )
      | ( para @ X1 @ X1 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl2386,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2316,zip_derived_cl1467]) ).

thf(zip_derived_cl9_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( perp @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD10]) ).

thf(zip_derived_cl2394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X1 @ X1 @ X3 @ X2 )
      | ~ ( perp @ X0 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2386,zip_derived_cl9]) ).

thf(zip_derived_cl2653,plain,
    ! [X0: $i] : ( perp @ X0 @ X0 @ sk__24 @ sk__24 ),
    inference('sup-',[status(thm)],[zip_derived_cl2560,zip_derived_cl2394]) ).

thf(zip_derived_cl7_015,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_cl2729,plain,
    ! [X0: $i] : ( perp @ sk__24 @ sk__24 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2653,zip_derived_cl7]) ).

thf(zip_derived_cl2737,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1904,zip_derived_cl2729]) ).

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_cl55,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_cl2760,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ X1 @ X1 @ X1 @ X0 )
      | ~ ( midp @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2737,zip_derived_cl55]) ).

thf(zip_derived_cl2316_016,plain,
    ! [X0: $i,X1: $i] : ( midp @ ( sk__6 @ X1 @ X0 ) @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl2209,zip_derived_cl2198]) ).

thf(zip_derived_cl1675_017,plain,
    perp @ sk__21 @ sk__21 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1634,zip_derived_cl7]) ).

thf(zip_derived_cl2226_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X0 @ X0 @ X2 @ X1 )
      | ~ ( perp @ sk__21 @ sk__21 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2221,zip_derived_cl9]) ).

thf(zip_derived_cl2261,plain,
    ! [X0: $i] : ( perp @ X0 @ X0 @ sk__22 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl2226]) ).

thf(zip_derived_cl7_019,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_cl2272,plain,
    ! [X0: $i] : ( perp @ sk__22 @ sk__21 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2261,zip_derived_cl7]) ).

thf(zip_derived_cl55_020,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_cl2287,plain,
    ! [X0: $i] :
      ( ( cong @ sk__22 @ X0 @ sk__22 @ X0 )
      | ~ ( midp @ sk__21 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2272,zip_derived_cl55]) ).

thf(zip_derived_cl2537_021,plain,
    cong @ sk__21 @ sk__24 @ sk__21 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2266]) ).

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_cl2076_022,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2073,zip_derived_cl1926]) ).

thf(zip_derived_cl2084,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_cl2076]) ).

thf(zip_derived_cl2549,plain,
    midp @ sk__21 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl2537,zip_derived_cl2084]) ).

thf(zip_derived_cl1910_023,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1903,zip_derived_cl1128]) ).

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_cl1494,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_cl1921,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1910,zip_derived_cl1494]) ).

thf(zip_derived_cl2569,plain,
    ! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2549,zip_derived_cl1921]) ).

thf(zip_derived_cl2571,plain,
    ! [X0: $i] : ( cong @ sk__22 @ X0 @ sk__22 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2287,zip_derived_cl2569]) ).

thf(zip_derived_cl56_024,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_cl2798,plain,
    ! [X0: $i,X1: $i] :
      ( ( perp @ sk__22 @ sk__22 @ X0 @ X1 )
      | ~ ( cong @ sk__22 @ X1 @ sk__22 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2571,zip_derived_cl56]) ).

thf(zip_derived_cl2571_025,plain,
    ! [X0: $i] : ( cong @ sk__22 @ X0 @ sk__22 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2287,zip_derived_cl2569]) ).

thf(zip_derived_cl2805,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__22 @ sk__22 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2798,zip_derived_cl2571]) ).

thf(zip_derived_cl2394_026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X1 @ X1 @ X3 @ X2 )
      | ~ ( perp @ X0 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2386,zip_derived_cl9]) ).

thf(zip_derived_cl2869,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2805,zip_derived_cl2394]) ).

thf(zip_derived_cl7_027,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_cl2928,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl2869,zip_derived_cl7]) ).

thf(zip_derived_cl55_028,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_cl2944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( midp @ X1 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2928,zip_derived_cl55]) ).

thf(zip_derived_cl3082,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2316,zip_derived_cl2944]) ).

thf(zip_derived_cl2084_029,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_cl2076]) ).

thf(zip_derived_cl3159,plain,
    ! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3082,zip_derived_cl2084]) ).

thf(zip_derived_cl64_030,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_cl2805_031,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__22 @ sk__22 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2798,zip_derived_cl2571]) ).

thf(zip_derived_cl7_032,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_cl2862,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__22 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl2805,zip_derived_cl7]) ).

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_cl2911,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X1 @ X0 @ X3 @ X2 )
      | ~ ( perp @ sk__22 @ sk__22 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2862,zip_derived_cl8]) ).

thf(zip_derived_cl2805_033,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__22 @ sk__22 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2798,zip_derived_cl2571]) ).

thf(zip_derived_cl2923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl2805]) ).

thf(zip_derived_cl2923_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl2805]) ).

thf(zip_derived_cl3440,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_cl2923,zip_derived_cl2923]) ).

thf(zip_derived_cl3444,plain,
    ! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl3440]) ).

thf(zip_derived_cl3479,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X1 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2760,zip_derived_cl3444]) ).

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_cl3484,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X1 @ X1 @ X1 @ X2 )
      | ~ ( cong @ X1 @ X1 @ X1 @ X3 )
      | ( cyclic @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3479,zip_derived_cl12]) ).

thf(zip_derived_cl3479_035,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X1 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2760,zip_derived_cl3444]) ).

thf(zip_derived_cl3479_036,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X1 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2760,zip_derived_cl3444]) ).

thf(zip_derived_cl3495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl3484,zip_derived_cl3479,zip_derived_cl3479]) ).

thf(zip_derived_cl3583,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl3495]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO637+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HGfwkZf5Pd true
% 0.13/0.34  % Computer : n017.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
% 0.13/0.34  % DateTime : Tue Aug 29 23:10:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.23/1.25  % Solved by fo/fo5.sh.
% 1.23/1.25  % done 1919 iterations in 0.465s
% 1.23/1.25  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/1.25  % SZS output start Refutation
% See solution above
% 1.23/1.25  
% 1.23/1.25  
% 1.23/1.25  % Terminating...
% 1.72/1.35  % Runner terminated.
% 5.25/1.35  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------