TSTP Solution File: GEO617+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO617+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0uz2a3BPH true

% Computer : n019.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 23:59:26 EDT 2023

% Result   : Theorem 26.76s 4.45s
% Output   : Refutation 26.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  216 (  88 unt;  14 typ;   0 def)
%            Number of atoms       :  363 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives : 1961 ( 111   ~; 109   |;  22   &;1689   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   7 con; 0-8 aty)
%            Number of variables   :  652 (   0   ^; 652   !;   0   ?; 652   :)

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

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

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

thf(exemplo6GDDFULL618079,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( circle @ D @ A @ B @ C )
        & ( eqangle @ E @ C @ C @ B @ E @ C @ C @ A )
        & ( coll @ E @ A @ B )
        & ( perp @ F @ C @ A @ B )
        & ( coll @ F @ A @ B ) )
     => ( eqangle @ F @ C @ C @ E @ E @ C @ C @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
        ( ( ( circle @ D @ A @ B @ C )
          & ( eqangle @ E @ C @ C @ B @ E @ C @ C @ A )
          & ( coll @ E @ A @ B )
          & ( perp @ F @ C @ A @ B )
          & ( coll @ F @ A @ B ) )
       => ( eqangle @ F @ C @ C @ E @ E @ C @ C @ D ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618079]) ).

thf(zip_derived_cl113,plain,
    ~ ( eqangle @ sk__25 @ sk__22 @ sk__22 @ sk__24 @ sk__24 @ sk__22 @ sk__22 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl117,plain,
    eqangle @ sk__24 @ sk__22 @ sk__22 @ sk__21 @ sk__24 @ sk__22 @ sk__22 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl576,plain,
    eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__21 @ sk__24 @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl17]) ).

thf(ruleD20,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 @ P @ Q @ U @ V @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl19,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD20]) ).

thf(zip_derived_cl583,plain,
    eqangle @ sk__24 @ sk__22 @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl19]) ).

thf(zip_derived_cl17_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl1794,plain,
    eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl17]) ).

thf(ruleD43,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD43]) ).

thf(zip_derived_cl4612,plain,
    ( ( cong @ sk__24 @ sk__20 @ sk__24 @ sk__21 )
    | ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__21 )
    | ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__24 )
    | ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1794,zip_derived_cl43]) ).

thf(zip_derived_cl118,plain,
    coll @ sk__24 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl122,plain,
    coll @ sk__20 @ sk__24 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,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_cl127,plain,
    coll @ sk__20 @ sk__21 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl0]) ).

thf(zip_derived_cl127_002,plain,
    coll @ sk__20 @ sk__21 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,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_cl139,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__21 @ X0 )
      | ( coll @ sk__24 @ X0 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2]) ).

thf(zip_derived_cl155,plain,
    coll @ sk__24 @ sk__24 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl139]) ).

thf(zip_derived_cl117_003,plain,
    eqangle @ sk__24 @ sk__22 @ sk__22 @ sk__21 @ sk__24 @ sk__22 @ sk__22 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl579,plain,
    eqangle @ sk__24 @ sk__22 @ sk__24 @ sk__22 @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,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_cl1657,plain,
    ( ( para @ sk__24 @ sk__22 @ sk__24 @ sk__22 )
    | ~ ( para @ sk__22 @ sk__21 @ sk__22 @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl73]) ).

thf(zip_derived_cl117_004,plain,
    eqangle @ sk__24 @ sk__22 @ sk__22 @ sk__21 @ sk__24 @ sk__22 @ sk__22 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl577,plain,
    eqangle @ sk__22 @ sk__21 @ sk__24 @ sk__22 @ sk__22 @ sk__20 @ sk__24 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,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_cl590,plain,
    para @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl38]) ).

thf(zip_derived_cl1664,plain,
    para @ sk__24 @ sk__22 @ sk__24 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl590]) ).

thf(zip_derived_cl39_005,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_cl1667,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__24 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__22 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl39]) ).

thf(ruleD42b,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl3474,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__22 @ X0 @ sk__24 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1667,zip_derived_cl42]) ).

thf(zip_derived_cl3506,plain,
    cyclic @ sk__22 @ sk__20 @ sk__24 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl3474]) ).

thf(ruleD15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl3514,plain,
    cyclic @ sk__22 @ sk__24 @ sk__20 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl3506,zip_derived_cl14]) ).

thf(ruleD16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ B @ A @ C @ D ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD16]) ).

thf(zip_derived_cl3550,plain,
    cyclic @ sk__24 @ sk__22 @ sk__20 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl3514,zip_derived_cl15]) ).

thf(zip_derived_cl14_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl3608,plain,
    cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl3550,zip_derived_cl14]) ).

thf(zip_derived_cl590_007,plain,
    para @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl38]) ).

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

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

thf(zip_derived_cl597,plain,
    coll @ sk__22 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl66]) ).

thf(zip_derived_cl1_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl600,plain,
    coll @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl1]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl606,plain,
    coll @ sk__21 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl600,zip_derived_cl0]) ).

thf(zip_derived_cl606_010,plain,
    coll @ sk__21 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl600,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_cl611,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__20 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl2]) ).

thf(zip_derived_cl904,plain,
    coll @ sk__22 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl611]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl908,plain,
    coll @ sk__22 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl0]) ).

thf(zip_derived_cl597_013,plain,
    coll @ sk__22 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl66]) ).

thf(zip_derived_cl2_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__22 @ sk__21 @ X0 )
      | ( coll @ sk__20 @ X0 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl2]) ).

thf(zip_derived_cl916,plain,
    coll @ sk__20 @ sk__22 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl908,zip_derived_cl598]) ).

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

thf(zip_derived_cl923,plain,
    coll @ sk__22 @ sk__20 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl916,zip_derived_cl1]) ).

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_cl926,plain,
    coll @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl923,zip_derived_cl0]) ).

thf(zip_derived_cl1664_017,plain,
    para @ sk__24 @ sk__22 @ sk__24 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl590]) ).

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_cl1670,plain,
    para @ sk__24 @ sk__22 @ sk__22 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl1664,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_cl1686,plain,
    para @ sk__22 @ sk__24 @ sk__24 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl4]) ).

thf(zip_derived_cl3_018,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_cl1699,plain,
    para @ sk__22 @ sk__24 @ sk__22 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl1686,zip_derived_cl3]) ).

thf(zip_derived_cl39_019,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_cl1710,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__22 @ sk__24 @ X1 @ X0 @ sk__22 @ sk__24 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1699,zip_derived_cl39]) ).

thf(zip_derived_cl42_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl3868,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__24 @ X0 @ sk__22 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__22 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1710,zip_derived_cl42]) ).

thf(zip_derived_cl3884,plain,
    cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl926,zip_derived_cl3868]) ).

thf(zip_derived_cl4614,plain,
    ( ( cong @ sk__24 @ sk__20 @ sk__24 @ sk__21 )
    | ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4612,zip_derived_cl3608,zip_derived_cl3884]) ).

thf(zip_derived_cl115,plain,
    perp @ sk__25 @ sk__22 @ sk__20 @ sk__21,
    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_cl204,plain,
    perp @ sk__20 @ sk__21 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(zip_derived_cl115_021,plain,
    perp @ sk__25 @ sk__22 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD9,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( perp @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 )
      | ( para @ sk__25 @ sk__22 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl1466,plain,
    para @ sk__25 @ sk__22 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl230]) ).

thf(zip_derived_cl39_022,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_cl1481,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__22 @ X1 @ X0 @ sk__25 @ sk__22 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl39]) ).

thf(zip_derived_cl42_023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl2050,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__22 @ X0 @ sk__25 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__25 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl42]) ).

thf(zip_derived_cl1481_024,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__22 @ X1 @ X0 @ sk__25 @ sk__22 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1466,zip_derived_cl39]) ).

thf(zip_derived_cl18_025,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_cl2045,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__22 @ X1 @ X0 @ sk__25 @ sk__22 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1481,zip_derived_cl18]) ).

thf(zip_derived_cl38_026,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_cl5388,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl38]) ).

thf(zip_derived_cl66_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl5411,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5388,zip_derived_cl66]) ).

thf(zip_derived_cl1_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl5467,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5411,zip_derived_cl1]) ).

thf(zip_derived_cl0_029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl5641,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5467,zip_derived_cl0]) ).

thf(zip_derived_cl5857,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ X0 @ sk__25 @ sk__25 ),
    inference(demod,[status(thm)],[zip_derived_cl2050,zip_derived_cl5641]) ).

thf(zip_derived_cl14_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl6193,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__25 @ X0 @ sk__25 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5857,zip_derived_cl14]) ).

thf(ruleD14,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD14]) ).

thf(zip_derived_cl6319,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__25 @ sk__25 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6193,zip_derived_cl13]) ).

thf(ruleD17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl6477,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ sk__22 @ sk__25 @ sk__25 @ X1 )
      | ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6319,zip_derived_cl16]) ).

thf(zip_derived_cl6319_031,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__25 @ sk__25 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6193,zip_derived_cl13]) ).

thf(zip_derived_cl6483,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl6477,zip_derived_cl6319]) ).

thf(zip_derived_cl16_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl6484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ sk__25 @ sk__25 @ X1 @ X2 )
      | ( cyclic @ sk__25 @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6483,zip_derived_cl16]) ).

thf(zip_derived_cl6483_033,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl6477,zip_derived_cl6319]) ).

thf(zip_derived_cl6490,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6484,zip_derived_cl6483]) ).

thf(zip_derived_cl16_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl6491,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ sk__25 @ X2 @ X1 @ X3 )
      | ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6490,zip_derived_cl16]) ).

thf(zip_derived_cl6490_035,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6484,zip_derived_cl6483]) ).

thf(zip_derived_cl6497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6491,zip_derived_cl6490]) ).

thf(zip_derived_cl9626,plain,
    cong @ sk__24 @ sk__20 @ sk__24 @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl4614,zip_derived_cl6497]) ).

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_cl5641_036,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5467,zip_derived_cl0]) ).

thf(zip_derived_cl2_037,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_cl5867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5641,zip_derived_cl2]) ).

thf(zip_derived_cl5641_038,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5467,zip_derived_cl0]) ).

thf(zip_derived_cl5957,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5867,zip_derived_cl5641]) ).

thf(zip_derived_cl5967,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_cl5957]) ).

thf(zip_derived_cl9629,plain,
    midp @ sk__24 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl9626,zip_derived_cl5967]) ).

thf(zip_derived_cl590_039,plain,
    para @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl38]) ).

thf(zip_derived_cl4_040,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_cl595,plain,
    para @ sk__22 @ sk__20 @ sk__22 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl4]) ).

thf(ruleD41,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( cyclic @ A @ B @ P @ Q )
     => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD41]) ).

thf(zip_derived_cl6497_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6491,zip_derived_cl6490]) ).

thf(zip_derived_cl6498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl6497]) ).

thf(zip_derived_cl73_042,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_cl6908,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X3 @ X2 @ X3 @ X0 )
      | ~ ( para @ X1 @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6498,zip_derived_cl73]) ).

thf(zip_derived_cl6923,plain,
    ! [X0: $i] : ( para @ X0 @ sk__20 @ X0 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl6908]) ).

thf(zip_derived_cl3_043,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_cl6933,plain,
    ! [X0: $i] : ( para @ X0 @ sk__20 @ sk__21 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6923,zip_derived_cl3]) ).

thf(zip_derived_cl5388_044,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2045,zip_derived_cl38]) ).

thf(zip_derived_cl3_045,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_cl5407,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5388,zip_derived_cl3]) ).

thf(ruleD6,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( para @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD6]) ).

thf(zip_derived_cl6057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X3 @ X2 )
      | ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5407,zip_derived_cl5]) ).

thf(zip_derived_cl7009,plain,
    ! [X0: $i] : ( para @ sk__20 @ X0 @ sk__21 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6933,zip_derived_cl6057]) ).

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_cl7145,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ X1 @ sk__20 @ sk__21 )
      | ( midp @ X1 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7009,zip_derived_cl64]) ).

thf(zip_derived_cl9646,plain,
    ! [X0: $i] : ( midp @ sk__24 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9629,zip_derived_cl7145]) ).

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_cl9648,plain,
    ! [X0: $i] : ( cong @ sk__24 @ X0 @ sk__24 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9646,zip_derived_cl68]) ).

thf(ruleD56,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD56]) ).

thf(zip_derived_cl11099,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__24 @ X1 @ sk__24 @ X1 )
      | ( perp @ sk__24 @ sk__24 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9648,zip_derived_cl56]) ).

thf(zip_derived_cl9648_046,plain,
    ! [X0: $i] : ( cong @ sk__24 @ X0 @ sk__24 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9646,zip_derived_cl68]) ).

thf(zip_derived_cl11100,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__24 @ sk__24 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl11099,zip_derived_cl9648]) ).

thf(zip_derived_cl7_047,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_cl11105,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__24 @ sk__24 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11100,zip_derived_cl7]) ).

thf(zip_derived_cl8_048,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_cl11136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ sk__24 @ sk__24 @ X3 @ X2 )
      | ( para @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11105,zip_derived_cl8]) ).

thf(zip_derived_cl11100_049,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__24 @ sk__24 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl11099,zip_derived_cl9648]) ).

thf(zip_derived_cl11197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl11136,zip_derived_cl11100]) ).

thf(zip_derived_cl11231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl11197]) ).

thf(zip_derived_cl18_050,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_cl13573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11231,zip_derived_cl18]) ).

thf(zip_derived_cl17_051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl14011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13573,zip_derived_cl17]) ).

thf(zip_derived_cl18_052,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_cl14654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X2 @ X3 @ X1 @ X0 @ X3 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14011,zip_derived_cl18]) ).

thf(zip_derived_cl20_053,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_cl15268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X0 @ X1 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14654,zip_derived_cl20]) ).

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

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

thf(zip_derived_cl16636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15268,zip_derived_cl21]) ).

thf(zip_derived_cl14011_054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13573,zip_derived_cl17]) ).

thf(zip_derived_cl20_055,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_cl14656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X3 @ X2 @ X5 @ X4 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14011,zip_derived_cl20]) ).

thf(zip_derived_cl16664,plain,
    ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ),
    inference(demod,[status(thm)],[zip_derived_cl16636,zip_derived_cl14656]) ).

thf(zip_derived_cl18269,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl16664]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO617+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0uz2a3BPH true
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 19:50:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.76/4.45  % Solved by fo/fo13.sh.
% 26.76/4.45  % done 6457 iterations in 3.656s
% 26.76/4.45  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.76/4.45  % SZS output start Refutation
% See solution above
% 26.76/4.45  
% 26.76/4.45  
% 26.76/4.45  % Terminating...
% 27.36/4.56  % Runner terminated.
% 27.36/4.57  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------