TSTP Solution File: GEO655+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO655+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.38xyNKYWkH true

% Computer : n032.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 23:59:38 EDT 2023

% Result   : Theorem 55.76s 8.59s
% Output   : Refutation 55.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  231 (  99 unt;  15 typ;   0 def)
%            Number of atoms       :  389 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   1 avg)
%            Number of connectives : 1646 ( 125   ~; 123   |;  29   &;1348   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   9 con; 0-8 aty)
%            Number of variables   :  395 (   0   ^; 395   !;   0   ?; 395   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__24_type,type,
    sk__24: $i ).

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

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

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

thf(sk__23_type,type,
    sk__23: $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__21_type,type,
    sk__21: $i ).

thf(sk__29_type,type,
    sk__29: $i ).

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

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

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

thf(exemplo6GDDFULLmoreE0229,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i,NWPNT4: $i] :
      ( ( ( midp @ MIDPNT1 @ B @ A )
        & ( perp @ B @ A @ MIDPNT1 @ D )
        & ( midp @ MIDPNT2 @ B @ C )
        & ( perp @ B @ C @ MIDPNT2 @ D )
        & ( midp @ MIDPNT3 @ A @ C )
        & ( perp @ A @ C @ MIDPNT3 @ D )
        & ( coll @ E @ A @ C )
        & ( eqangle @ C @ B @ B @ E @ E @ B @ B @ A )
        & ( coll @ B @ E @ F )
        & ( circle @ D @ B @ F @ NWPNT4 )
        & ( perp @ D @ F @ F @ G ) )
     => ( para @ F @ G @ A @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i,NWPNT4: $i] :
        ( ( ( midp @ MIDPNT1 @ B @ A )
          & ( perp @ B @ A @ MIDPNT1 @ D )
          & ( midp @ MIDPNT2 @ B @ C )
          & ( perp @ B @ C @ MIDPNT2 @ D )
          & ( midp @ MIDPNT3 @ A @ C )
          & ( perp @ A @ C @ MIDPNT3 @ D )
          & ( coll @ E @ A @ C )
          & ( eqangle @ C @ B @ B @ E @ E @ B @ B @ A )
          & ( coll @ B @ E @ F )
          & ( circle @ D @ B @ F @ NWPNT4 )
          & ( perp @ D @ F @ F @ G ) )
       => ( para @ F @ G @ A @ C ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE0229]) ).

thf(zip_derived_cl124,plain,
    ~ ( para @ sk__25 @ sk__26 @ sk__20 @ sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    midp @ sk__29 @ sk__20 @ sk__22,
    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_cl163,plain,
    midp @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).

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_cl380,plain,
    cong @ sk__29 @ sk__22 @ sk__29 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl68]) ).

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_cl431,plain,
    cong @ sk__29 @ sk__22 @ sk__20 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl22]) ).

thf(zip_derived_cl431_001,plain,
    cong @ sk__29 @ sk__22 @ sk__20 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl380,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_cl448,plain,
    cong @ sk__20 @ sk__29 @ sk__29 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl23]) ).

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

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

thf(zip_derived_cl477,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__29 @ sk__22 @ X1 @ X0 )
      | ( cong @ sk__20 @ sk__29 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl24]) ).

thf(zip_derived_cl4243,plain,
    cong @ sk__20 @ sk__29 @ sk__20 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl477]) ).

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_cl7604,plain,
    ( ( midp @ sk__20 @ sk__29 @ sk__29 )
    | ~ ( coll @ sk__20 @ sk__29 @ sk__29 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4243,zip_derived_cl67]) ).

thf(zip_derived_cl118_002,plain,
    midp @ sk__29 @ sk__20 @ sk__22,
    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_cl171,plain,
    coll @ sk__29 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl69]) ).

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_cl187,plain,
    coll @ sk__20 @ sk__29 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl171,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_cl204,plain,
    coll @ sk__20 @ sk__22 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl0]) ).

thf(zip_derived_cl204_003,plain,
    coll @ sk__20 @ sk__22 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl0]) ).

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_cl225,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__22 @ X0 )
      | ( coll @ sk__29 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl2]) ).

thf(zip_derived_cl788,plain,
    coll @ sk__29 @ sk__29 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl225]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl790,plain,
    coll @ sk__29 @ sk__20 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl0]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl794,plain,
    coll @ sk__20 @ sk__29 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl1]) ).

thf(zip_derived_cl7617,plain,
    midp @ sk__20 @ sk__29 @ sk__29,
    inference(demod,[status(thm)],[zip_derived_cl7604,zip_derived_cl794]) ).

thf(zip_derived_cl119,plain,
    perp @ sk__20 @ sk__22 @ sk__29 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_006,plain,
    perp @ sk__20 @ sk__22 @ sk__29 @ sk__23,
    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_cl228,plain,
    perp @ sk__29 @ sk__23 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,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_cl251,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__20 @ sk__22 @ X1 @ X0 )
      | ( para @ sk__29 @ sk__23 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl8]) ).

thf(zip_derived_cl2663,plain,
    para @ sk__29 @ sk__23 @ sk__29 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl251]) ).

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_cl2681,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__29 @ sk__29 )
      | ( midp @ X0 @ sk__23 @ sk__23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2663,zip_derived_cl64]) ).

thf(zip_derived_cl15525,plain,
    midp @ sk__20 @ sk__23 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl7617,zip_derived_cl2681]) ).

thf(zip_derived_cl123,plain,
    perp @ sk__23 @ sk__25 @ sk__25 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_007,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_cl231,plain,
    perp @ sk__25 @ sk__26 @ sk__23 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl7]) ).

thf(zip_derived_cl123_008,plain,
    perp @ sk__23 @ sk__25 @ sk__25 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_009,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_cl238,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__25 @ sk__26 @ X1 @ X0 )
      | ( para @ sk__23 @ sk__25 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl8]) ).

thf(zip_derived_cl2524,plain,
    para @ sk__23 @ sk__25 @ sk__23 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl238]) ).

thf(zip_derived_cl64_010,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_cl2558,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__23 @ sk__23 )
      | ( midp @ X0 @ sk__25 @ sk__25 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2524,zip_derived_cl64]) ).

thf(zip_derived_cl15561,plain,
    midp @ sk__20 @ sk__25 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl15525,zip_derived_cl2558]) ).

thf(zip_derived_cl68_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl15631,plain,
    cong @ sk__20 @ sk__25 @ sk__20 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl15561,zip_derived_cl68]) ).

thf(zip_derived_cl22_012,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_cl15801,plain,
    cong @ sk__20 @ sk__25 @ sk__25 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl15631,zip_derived_cl22]) ).

thf(zip_derived_cl23_013,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_cl15857,plain,
    cong @ sk__25 @ sk__20 @ sk__20 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl15801,zip_derived_cl23]) ).

thf(zip_derived_cl22_014,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_cl15884,plain,
    cong @ sk__25 @ sk__20 @ sk__25 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl15857,zip_derived_cl22]) ).

thf(zip_derived_cl67_015,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_cl16175,plain,
    ( ( midp @ sk__25 @ sk__20 @ sk__20 )
    | ~ ( coll @ sk__25 @ sk__20 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15884,zip_derived_cl67]) ).

thf(zip_derived_cl122,plain,
    coll @ sk__21 @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl126,plain,
    coll @ sk__21 @ sk__25 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).

thf(zip_derived_cl126_017,plain,
    coll @ sk__21 @ sk__25 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).

thf(zip_derived_cl2_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__25 @ X0 )
      | ( coll @ sk__24 @ X0 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl2]) ).

thf(zip_derived_cl393,plain,
    coll @ sk__24 @ sk__24 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl150]) ).

thf(zip_derived_cl0_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl396,plain,
    coll @ sk__24 @ sk__21 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl0]) ).

thf(zip_derived_cl122_020,plain,
    coll @ sk__21 @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl129,plain,
    coll @ sk__24 @ sk__21 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1]) ).

thf(zip_derived_cl2_022,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_cl153,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__24 @ sk__21 @ X0 )
      | ( coll @ sk__25 @ X0 @ sk__24 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl2]) ).

thf(zip_derived_cl541,plain,
    coll @ sk__25 @ sk__24 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl153]) ).

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

thf(zip_derived_cl545,plain,
    coll @ sk__24 @ sk__25 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl1]) ).

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_cl550,plain,
    coll @ sk__24 @ sk__24 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl545,zip_derived_cl0]) ).

thf(zip_derived_cl120,plain,
    coll @ sk__24 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl131,plain,
    coll @ sk__20 @ sk__24 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).

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

thf(zip_derived_cl137,plain,
    coll @ sk__20 @ sk__22 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl0]) ).

thf(zip_derived_cl137_027,plain,
    coll @ sk__20 @ sk__22 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl0]) ).

thf(zip_derived_cl2_028,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_cl147,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__22 @ X0 )
      | ( coll @ sk__24 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2]) ).

thf(zip_derived_cl323,plain,
    coll @ sk__24 @ sk__24 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl147]) ).

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_cl325,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__24 @ sk__24 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__24 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl2]) ).

thf(zip_derived_cl819,plain,
    coll @ sk__20 @ sk__25 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl550,zip_derived_cl325]) ).

thf(zip_derived_cl0_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl825,plain,
    coll @ sk__20 @ sk__24 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl819,zip_derived_cl0]) ).

thf(zip_derived_cl131_031,plain,
    coll @ sk__20 @ sk__24 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).

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_cl148,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__24 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl2]) ).

thf(zip_derived_cl841,plain,
    coll @ sk__22 @ sk__25 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl825,zip_derived_cl148]) ).

thf(zip_derived_cl0_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl873,plain,
    coll @ sk__22 @ sk__20 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl841,zip_derived_cl0]) ).

thf(zip_derived_cl1_034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl932,plain,
    coll @ sk__20 @ sk__22 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl873,zip_derived_cl1]) ).

thf(zip_derived_cl120_035,plain,
    coll @ sk__24 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl125,plain,
    coll @ sk__24 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl0]) ).

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

thf(zip_derived_cl132,plain,
    coll @ sk__22 @ sk__24 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl1]) ).

thf(zip_derived_cl132_038,plain,
    coll @ sk__22 @ sk__24 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl1]) ).

thf(zip_derived_cl2_039,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_cl151,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__22 @ sk__24 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl2]) ).

thf(zip_derived_cl405,plain,
    coll @ sk__20 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl151]) ).

thf(zip_derived_cl0_040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl407,plain,
    coll @ sk__20 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl0]) ).

thf(zip_derived_cl2_041,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_cl409,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__22 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl2]) ).

thf(zip_derived_cl3765,plain,
    coll @ sk__20 @ sk__25 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl932,zip_derived_cl409]) ).

thf(zip_derived_cl1_042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl3807,plain,
    coll @ sk__25 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl3765,zip_derived_cl1]) ).

thf(zip_derived_cl16186,plain,
    midp @ sk__25 @ sk__20 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl16175,zip_derived_cl3807]) ).

thf(zip_derived_cl118_043,plain,
    midp @ sk__29 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl379,plain,
    cong @ sk__29 @ sk__20 @ sk__29 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl68]) ).

thf(zip_derived_cl22_045,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_cl430,plain,
    cong @ sk__29 @ sk__20 @ sk__22 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl22]) ).

thf(zip_derived_cl23_046,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_cl446,plain,
    cong @ sk__22 @ sk__29 @ sk__29 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl23]) ).

thf(zip_derived_cl430_047,plain,
    cong @ sk__29 @ sk__20 @ sk__22 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl22]) ).

thf(zip_derived_cl24_048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl470,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__22 @ sk__29 @ X1 @ X0 )
      | ( cong @ sk__29 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl24]) ).

thf(zip_derived_cl4185,plain,
    cong @ sk__29 @ sk__20 @ sk__29 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl470]) ).

thf(zip_derived_cl67_049,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_cl7472,plain,
    ( ( midp @ sk__29 @ sk__20 @ sk__20 )
    | ~ ( coll @ sk__29 @ sk__20 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4185,zip_derived_cl67]) ).

thf(zip_derived_cl163_050,plain,
    midp @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).

thf(zip_derived_cl69_051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl172,plain,
    coll @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl69]) ).

thf(zip_derived_cl172_052,plain,
    coll @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl69]) ).

thf(zip_derived_cl2_053,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_cl188,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__29 @ sk__22 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__29 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl2]) ).

thf(zip_derived_cl654,plain,
    coll @ sk__20 @ sk__20 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl188]) ).

thf(zip_derived_cl0_054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl658,plain,
    coll @ sk__20 @ sk__29 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl0]) ).

thf(zip_derived_cl1_055,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl662,plain,
    coll @ sk__29 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl1]) ).

thf(zip_derived_cl7487,plain,
    midp @ sk__29 @ sk__20 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl7472,zip_derived_cl662]) ).

thf(zip_derived_cl118_056,plain,
    midp @ sk__29 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl1184,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ X1 @ sk__22 @ X0 )
      | ~ ( midp @ sk__29 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl63]) ).

thf(zip_derived_cl8079,plain,
    para @ sk__20 @ sk__20 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl7487,zip_derived_cl1184]) ).

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_cl10547,plain,
    para @ sk__20 @ sk__20 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl8079,zip_derived_cl3]) ).

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_cl11348,plain,
    para @ sk__20 @ sk__22 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl10547,zip_derived_cl4]) ).

thf(zip_derived_cl64_057,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_cl11687,plain,
    ! [X0: $i] :
      ( ~ ( para @ sk__20 @ sk__20 @ sk__20 @ sk__22 )
      | ~ ( midp @ X0 @ sk__20 @ sk__20 )
      | ( midp @ X0 @ sk__20 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11348,zip_derived_cl64]) ).

thf(zip_derived_cl10547_058,plain,
    para @ sk__20 @ sk__20 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl8079,zip_derived_cl3]) ).

thf(zip_derived_cl11699,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__20 @ sk__20 )
      | ( midp @ X0 @ sk__20 @ sk__22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11687,zip_derived_cl10547]) ).

thf(zip_derived_cl44285,plain,
    midp @ sk__25 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl16186,zip_derived_cl11699]) ).

thf(zip_derived_cl10_059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl44307,plain,
    midp @ sk__25 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl44285,zip_derived_cl10]) ).

thf(zip_derived_cl68_060,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl44379,plain,
    cong @ sk__25 @ sk__22 @ sk__25 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl44307,zip_derived_cl68]) ).

thf(zip_derived_cl22_061,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_cl44654,plain,
    cong @ sk__25 @ sk__22 @ sk__20 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl44379,zip_derived_cl22]) ).

thf(zip_derived_cl23_062,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_cl44897,plain,
    cong @ sk__20 @ sk__25 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl44654,zip_derived_cl23]) ).

thf(zip_derived_cl22_063,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_cl45141,plain,
    cong @ sk__20 @ sk__25 @ sk__22 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl44897,zip_derived_cl22]) ).

thf(zip_derived_cl119_064,plain,
    perp @ sk__20 @ sk__22 @ sk__29 @ sk__23,
    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_cl209,plain,
    perp @ sk__20 @ sk__22 @ sk__23 @ sk__29,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl6]) ).

thf(zip_derived_cl7_065,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_cl241,plain,
    perp @ sk__23 @ sk__29 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl7]) ).

thf(zip_derived_cl6_066,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_cl264,plain,
    perp @ sk__23 @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl6]) ).

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_cl1018,plain,
    ( ~ ( midp @ sk__29 @ sk__22 @ sk__20 )
    | ( cong @ sk__23 @ sk__22 @ sk__23 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl55]) ).

thf(zip_derived_cl163_067,plain,
    midp @ sk__29 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).

thf(zip_derived_cl1036,plain,
    cong @ sk__23 @ sk__22 @ sk__23 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl163]) ).

thf(zip_derived_cl22_068,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_cl2309,plain,
    cong @ sk__23 @ sk__22 @ sk__20 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl1036,zip_derived_cl22]) ).

thf(zip_derived_cl23_069,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_cl2330,plain,
    cong @ sk__20 @ sk__23 @ sk__23 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl2309,zip_derived_cl23]) ).

thf(zip_derived_cl22_070,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_cl2356,plain,
    cong @ sk__20 @ sk__23 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl2330,zip_derived_cl22]) ).

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_cl2479,plain,
    ! [X0: $i] :
      ( ~ ( cong @ sk__20 @ X0 @ sk__22 @ X0 )
      | ( perp @ sk__20 @ sk__22 @ sk__23 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2356,zip_derived_cl56]) ).

thf(zip_derived_cl45384,plain,
    perp @ sk__20 @ sk__22 @ sk__23 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl45141,zip_derived_cl2479]) ).

thf(zip_derived_cl7_071,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_cl45529,plain,
    perp @ sk__23 @ sk__25 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl45384,zip_derived_cl7]) ).

thf(zip_derived_cl231_072,plain,
    perp @ sk__25 @ sk__26 @ sk__23 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl7]) ).

thf(zip_derived_cl8_073,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_cl260,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__23 @ sk__25 @ X1 @ X0 )
      | ( para @ sk__25 @ sk__26 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl8]) ).

thf(zip_derived_cl45868,plain,
    para @ sk__25 @ sk__26 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl45529,zip_derived_cl260]) ).

thf(zip_derived_cl46331,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl45868]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO655+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.38xyNKYWkH true
% 0.13/0.32  % Computer : n032.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Tue Aug 29 22:02:47 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.33  % Python version: Python 3.6.8
% 0.13/0.33  % Running in FO mode
% 0.20/0.56  % Total configuration time : 435
% 0.20/0.56  % Estimated wc time : 1092
% 0.20/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.61  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/0.61  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.62  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.62  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.62  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.62  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.65  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 55.76/8.59  % Solved by fo/fo13.sh.
% 55.76/8.59  % done 19051 iterations in 7.946s
% 55.76/8.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 55.76/8.59  % SZS output start Refutation
% See solution above
% 55.76/8.59  
% 55.76/8.59  
% 55.76/8.59  % Terminating...
% 56.29/8.68  % Runner terminated.
% 56.29/8.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------