TSTP Solution File: GEO607+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO607+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.NAdj1oLb8M true

% Computer : n004.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 23:59:23 EDT 2023

% Result   : Theorem 7.97s 1.75s
% Output   : Refutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  232 ( 100 unt;  13 typ;   0 def)
%            Number of atoms       :  375 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives : 1636 ( 120   ~; 118   |;  14   &;1360   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   7 con; 0-8 aty)
%            Number of variables   :  496 (   0   ^; 496   !;   0   ?; 496   :)

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

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

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

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

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

thf(sk__22_type,type,
    sk__22: $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__23_type,type,
    sk__23: $i ).

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

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

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

thf(exemplo6GDDFULL618069,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( midp @ C @ B @ A )
        & ( perp @ D @ A @ D @ B )
        & ( circle @ E @ A @ C @ D )
        & ( circle @ F @ B @ D @ C ) )
     => ( perp @ E @ D @ D @ F ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
        ( ( ( midp @ C @ B @ A )
          & ( perp @ D @ A @ D @ B )
          & ( circle @ E @ A @ C @ D )
          & ( circle @ F @ B @ D @ C ) )
       => ( perp @ E @ D @ D @ F ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618069]) ).

thf(zip_derived_cl113,plain,
    ~ ( perp @ sk__24 @ sk__23 @ sk__23 @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(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_cl115,plain,
    midp @ sk__22 @ sk__21 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    perp @ sk__23 @ sk__20 @ sk__23 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl164,plain,
    perp @ sk__23 @ sk__20 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl6]) ).

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

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

thf(zip_derived_cl190,plain,
    perp @ sk__21 @ sk__23 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl7]) ).

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_cl633,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__21 @ sk__20 )
      | ( cong @ sk__21 @ X0 @ sk__23 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl52]) ).

thf(zip_derived_cl1215,plain,
    cong @ sk__21 @ sk__22 @ sk__23 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl633]) ).

thf(ruleD23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl1217,plain,
    cong @ sk__21 @ sk__22 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl22]) ).

thf(ruleD24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl1223,plain,
    cong @ sk__22 @ sk__23 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl1217,zip_derived_cl23]) ).

thf(zip_derived_cl22_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl1230,plain,
    cong @ sk__22 @ sk__23 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl1223,zip_derived_cl22]) ).

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_cl1237,plain,
    ( ( midp @ sk__22 @ sk__23 @ sk__21 )
    | ~ ( coll @ sk__22 @ sk__23 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl67]) ).

thf(zip_derived_cl190_002,plain,
    perp @ sk__21 @ sk__23 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl7]) ).

thf(zip_derived_cl164_003,plain,
    perp @ sk__23 @ sk__20 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl6]) ).

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_cl212,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__21 @ sk__23 @ X1 @ X0 )
      | ( para @ sk__23 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl8]) ).

thf(zip_derived_cl334,plain,
    para @ sk__23 @ sk__20 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl212]) ).

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_cl343,plain,
    coll @ sk__23 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl66]) ).

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_cl346,plain,
    coll @ sk__20 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl1]) ).

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_cl348,plain,
    coll @ sk__20 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl0]) ).

thf(zip_derived_cl115_004,plain,
    midp @ sk__22 @ sk__21 @ sk__20,
    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_cl121,plain,
    coll @ sk__22 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl69]) ).

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_cl125,plain,
    coll @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1]) ).

thf(zip_derived_cl125_006,plain,
    coll @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl121,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_cl134,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__22 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl2]) ).

thf(zip_derived_cl166,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl134]) ).

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_cl167,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( coll @ sk__21 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl2]) ).

thf(zip_derived_cl353,plain,
    coll @ sk__21 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl167]) ).

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_cl356,plain,
    coll @ sk__21 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl0]) ).

thf(zip_derived_cl125_009,plain,
    coll @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl128,plain,
    coll @ sk__21 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl0]) ).

thf(zip_derived_cl2_011,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_cl137,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__20 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl2]) ).

thf(zip_derived_cl364,plain,
    coll @ sk__22 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl137]) ).

thf(zip_derived_cl1242,plain,
    midp @ sk__22 @ sk__23 @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl1237,zip_derived_cl364]) ).

thf(zip_derived_cl115_012,plain,
    midp @ sk__22 @ 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_cl118,plain,
    midp @ sk__22 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl10]) ).

thf(zip_derived_cl116_013,plain,
    perp @ sk__23 @ sk__20 @ sk__23 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl191,plain,
    perp @ sk__23 @ sk__21 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl7]) ).

thf(zip_derived_cl6_015,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_cl218,plain,
    perp @ sk__23 @ sk__21 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl6]) ).

thf(zip_derived_cl7_016,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_cl225,plain,
    perp @ sk__20 @ sk__23 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl7]) ).

thf(zip_derived_cl52_017,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_cl632,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__20 @ sk__21 )
      | ( cong @ sk__20 @ X0 @ sk__23 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl52]) ).

thf(zip_derived_cl717,plain,
    cong @ sk__20 @ sk__22 @ sk__23 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl632]) ).

thf(zip_derived_cl22_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl719,plain,
    cong @ sk__20 @ sk__22 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl22]) ).

thf(zip_derived_cl23_019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl724,plain,
    cong @ sk__22 @ sk__23 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl23]) ).

thf(zip_derived_cl22_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl730,plain,
    cong @ sk__22 @ sk__23 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl22]) ).

thf(zip_derived_cl67_021,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_cl741,plain,
    ( ( midp @ sk__22 @ sk__23 @ sk__20 )
    | ~ ( coll @ sk__22 @ sk__23 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl67]) ).

thf(zip_derived_cl348_022,plain,
    coll @ sk__20 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl0]) ).

thf(zip_derived_cl166_023,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl134]) ).

thf(zip_derived_cl0_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl168,plain,
    coll @ sk__20 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl0]) ).

thf(zip_derived_cl118_025,plain,
    midp @ sk__22 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl10]) ).

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

thf(zip_derived_cl120,plain,
    coll @ sk__22 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl69]) ).

thf(zip_derived_cl1_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl123,plain,
    coll @ sk__20 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).

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_cl126,plain,
    coll @ sk__20 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl0]) ).

thf(zip_derived_cl2_029,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_cl132,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__21 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl2]) ).

thf(zip_derived_cl173,plain,
    coll @ sk__22 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl132]) ).

thf(zip_derived_cl1_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl179,plain,
    coll @ sk__20 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl1]) ).

thf(zip_derived_cl0_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl181,plain,
    coll @ sk__20 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl0]) ).

thf(zip_derived_cl2_032,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_cl184,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl2]) ).

thf(zip_derived_cl354,plain,
    coll @ sk__22 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl184]) ).

thf(zip_derived_cl746,plain,
    midp @ sk__22 @ sk__23 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl741,zip_derived_cl354]) ).

thf(zip_derived_cl118_033,plain,
    midp @ sk__22 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl10]) ).

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_cl878,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ X1 @ sk__21 @ X0 )
      | ~ ( midp @ sk__22 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl63]) ).

thf(zip_derived_cl948,plain,
    para @ sk__20 @ sk__23 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl746,zip_derived_cl878]) ).

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_cl984,plain,
    para @ sk__21 @ sk__20 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl948,zip_derived_cl4]) ).

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

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

thf(zip_derived_cl1053,plain,
    para @ sk__21 @ sk__20 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl984,zip_derived_cl3]) ).

thf(zip_derived_cl4_034,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_cl1098,plain,
    para @ sk__23 @ sk__20 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1053,zip_derived_cl4]) ).

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_cl1118,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__23 @ sk__21 )
      | ( midp @ X0 @ sk__20 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1098,zip_derived_cl64]) ).

thf(zip_derived_cl1254,plain,
    midp @ sk__22 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1242,zip_derived_cl1118]) ).

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

thf(zip_derived_cl1272,plain,
    cong @ sk__22 @ sk__20 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1254,zip_derived_cl68]) ).

thf(zip_derived_cl22_036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl1436,plain,
    cong @ sk__22 @ sk__20 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl1272,zip_derived_cl22]) ).

thf(zip_derived_cl23_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl1678,plain,
    cong @ sk__20 @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1436,zip_derived_cl23]) ).

thf(zip_derived_cl22_038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl2033,plain,
    cong @ sk__20 @ sk__22 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl22]) ).

thf(zip_derived_cl67_039,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_cl2185,plain,
    ( ( midp @ sk__20 @ sk__22 @ sk__22 )
    | ~ ( coll @ sk__20 @ sk__22 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2033,zip_derived_cl67]) ).

thf(zip_derived_cl126_040,plain,
    coll @ sk__20 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl0]) ).

thf(zip_derived_cl132_041,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__21 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl2]) ).

thf(zip_derived_cl140,plain,
    coll @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl132]) ).

thf(zip_derived_cl0_042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl142,plain,
    coll @ sk__22 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl0]) ).

thf(zip_derived_cl1_043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl146,plain,
    coll @ sk__20 @ sk__22 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl1]) ).

thf(zip_derived_cl2194,plain,
    midp @ sk__20 @ sk__22 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl2185,zip_derived_cl146]) ).

thf(zip_derived_cl190_044,plain,
    perp @ sk__21 @ sk__23 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl7]) ).

thf(zip_derived_cl6_045,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_cl215,plain,
    perp @ sk__21 @ sk__23 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl6]) ).

thf(zip_derived_cl212_046,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__21 @ sk__23 @ X1 @ X0 )
      | ( para @ sk__23 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl8]) ).

thf(zip_derived_cl333,plain,
    para @ sk__23 @ sk__20 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl212]) ).

thf(zip_derived_cl4_047,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_cl338,plain,
    para @ sk__20 @ sk__23 @ sk__23 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl4]) ).

thf(zip_derived_cl3_048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl451,plain,
    para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl3]) ).

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_cl503,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl451,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_cl673,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl503,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_cl4051,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl38]) ).

thf(zip_derived_cl64_049,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_cl4077,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4051,zip_derived_cl64]) ).

thf(zip_derived_cl4330,plain,
    ! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2194,zip_derived_cl4077]) ).

thf(zip_derived_cl64_050,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_cl4330_051,plain,
    ! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2194,zip_derived_cl4077]) ).

thf(zip_derived_cl68_052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl4339,plain,
    ! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4330,zip_derived_cl68]) ).

thf(zip_derived_cl56_053,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_cl4906,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__20 @ X1 @ sk__20 @ X1 )
      | ( perp @ sk__20 @ sk__20 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4339,zip_derived_cl56]) ).

thf(zip_derived_cl4339_054,plain,
    ! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4330,zip_derived_cl68]) ).

thf(zip_derived_cl4910,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl4906,zip_derived_cl4339]) ).

thf(zip_derived_cl7_055,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_cl5021,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__20 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4910,zip_derived_cl7]) ).

thf(zip_derived_cl8_056,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_cl5287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ sk__20 @ sk__20 @ X3 @ X2 )
      | ( para @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5021,zip_derived_cl8]) ).

thf(zip_derived_cl4910_057,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl4906,zip_derived_cl4339]) ).

thf(zip_derived_cl5310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl5287,zip_derived_cl4910]) ).

thf(zip_derived_cl5310_058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl5287,zip_derived_cl4910]) ).

thf(zip_derived_cl5315,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_cl5310,zip_derived_cl5310]) ).

thf(zip_derived_cl5575,plain,
    ! [X1: $i,X2: $i] : ( midp @ sk__20 @ X2 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4330,zip_derived_cl5315]) ).

thf(zip_derived_cl68_059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl5605,plain,
    ! [X0: $i,X1: $i] : ( cong @ sk__20 @ X1 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5575,zip_derived_cl68]) ).

thf(zip_derived_cl22_060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl5669,plain,
    ! [X0: $i,X1: $i] : ( cong @ sk__20 @ X1 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5605,zip_derived_cl22]) ).

thf(zip_derived_cl23_061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl5795,plain,
    ! [X0: $i,X1: $i] : ( cong @ X0 @ sk__20 @ sk__20 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5669,zip_derived_cl23]) ).

thf(zip_derived_cl22_062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl5922,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ sk__20 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5795,zip_derived_cl22]) ).

thf(zip_derived_cl67_063,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_cl4051_064,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl38]) ).

thf(zip_derived_cl66_065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl4083,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4051,zip_derived_cl66]) ).

thf(zip_derived_cl1_066,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl4096,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4083,zip_derived_cl1]) ).

thf(zip_derived_cl0_067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl4167,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4096,zip_derived_cl0]) ).

thf(zip_derived_cl2_068,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_cl4231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4167,zip_derived_cl2]) ).

thf(zip_derived_cl4167_069,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4096,zip_derived_cl0]) ).

thf(zip_derived_cl4237,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl4231,zip_derived_cl4167]) ).

thf(zip_derived_cl4267,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_cl4237]) ).

thf(zip_derived_cl6904,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__20 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5922,zip_derived_cl4267]) ).

thf(zip_derived_cl5315_070,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_cl5310,zip_derived_cl5310]) ).

thf(zip_derived_cl6947,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( midp @ X0 @ X2 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6904,zip_derived_cl5315]) ).

thf(zip_derived_cl6952,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl6947]) ).

thf(zip_derived_cl22_071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl6970,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6952,zip_derived_cl22]) ).

thf(zip_derived_cl23_072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl6993,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6970,zip_derived_cl23]) ).

thf(zip_derived_cl22_073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl7023,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6993,zip_derived_cl22]) ).

thf(zip_derived_cl7023_074,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6993,zip_derived_cl22]) ).

thf(zip_derived_cl7059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl7023,zip_derived_cl7023]) ).

thf(zip_derived_cl7081,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl7059]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NAdj1oLb8M true
% 0.13/0.34  % Computer : n004.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 21:00:07 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.97/1.75  % Solved by fo/fo13.sh.
% 7.97/1.75  % done 2564 iterations in 0.971s
% 7.97/1.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.97/1.75  % SZS output start Refutation
% See solution above
% 7.97/1.75  
% 7.97/1.75  
% 7.97/1.75  % Terminating...
% 8.51/1.85  % Runner terminated.
% 8.51/1.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------