TSTP Solution File: GEO602+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO602+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.qU0RZZTv9p true

% Computer : n029.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 23:59:21 EDT 2023

% Result   : Theorem 19.90s 3.49s
% Output   : Refutation 19.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  169 (  62 unt;  18 typ;   0 def)
%            Number of atoms       :  298 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   1 avg)
%            Number of connectives : 1422 (  83   ~;  81   |;  36   &;1192   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;  10 con; 0-8 aty)
%            Number of variables   :  491 (   0   ^; 490   !;   1   ?; 491   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__27_type,type,
    sk__27: $i ).

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

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

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

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

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

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

thf(sk__35_type,type,
    sk__35: $i ).

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

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

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

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

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

thf(sk__33_type,type,
    sk__33: $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__11_type,type,
    sk__11: $i > $i > $i ).

thf(exemplo6GDDFULL618064,conjecture,
    ! [A: $i,B: $i,E: $i,F: $i,D: $i,M: $i,E1: $i,F1: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i] :
      ( ( ( circle @ B @ E @ NWPNT1 @ NWPNT2 )
        & ( circle @ A @ E @ NWPNT3 @ NWPNT4 )
        & ( circle @ B @ E @ F @ NWPNT5 )
        & ( circle @ A @ E @ F @ NWPNT6 )
        & ( coll @ D @ A @ B )
        & ( coll @ D @ E @ F )
        & ( circle @ B @ E @ M @ NWPNT7 )
        & ( circle @ A @ E @ E1 @ NWPNT8 )
        & ( coll @ E1 @ E @ M )
        & ( coll @ F1 @ F @ M )
        & ( circle @ A @ E @ F1 @ NWPNT9 ) )
     => ( perp @ E1 @ F1 @ M @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,E: $i,F: $i,D: $i,M: $i,E1: $i,F1: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i] :
        ( ( ( circle @ B @ E @ NWPNT1 @ NWPNT2 )
          & ( circle @ A @ E @ NWPNT3 @ NWPNT4 )
          & ( circle @ B @ E @ F @ NWPNT5 )
          & ( circle @ A @ E @ F @ NWPNT6 )
          & ( coll @ D @ A @ B )
          & ( coll @ D @ E @ F )
          & ( circle @ B @ E @ M @ NWPNT7 )
          & ( circle @ A @ E @ E1 @ NWPNT8 )
          & ( coll @ E1 @ E @ M )
          & ( coll @ F1 @ F @ M )
          & ( circle @ A @ E @ F1 @ NWPNT9 ) )
       => ( perp @ E1 @ F1 @ M @ B ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618064]) ).

thf(zip_derived_cl124,plain,
    ~ ( perp @ sk__26 @ sk__27 @ sk__25 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    circle @ sk__20 @ sk__22 @ sk__26 @ sk__35,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl117,plain,
    circle @ sk__20 @ sk__22 @ sk__23 @ sk__33,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleX11,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
    ? [P: $i] :
      ( ( circle @ O @ A @ B @ C )
     => ( perp @ P @ A @ A @ O ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ( perp @ ( sk__11 @ X0 @ X1 ) @ X1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleX11]) ).

thf(zip_derived_cl1533,plain,
    perp @ ( sk__11 @ sk__20 @ sk__22 ) @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl99]) ).

thf(zip_derived_cl1533_001,plain,
    perp @ ( sk__11 @ sk__20 @ sk__22 ) @ sk__22 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl99]) ).

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_cl3909,plain,
    perp @ sk__22 @ sk__20 @ ( sk__11 @ sk__20 @ sk__22 ) @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl1533,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_cl4071,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ ( sk__11 @ sk__20 @ sk__22 ) @ sk__22 @ X1 @ X0 )
      | ( para @ sk__22 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3909,zip_derived_cl8]) ).

thf(zip_derived_cl8609,plain,
    para @ sk__22 @ sk__20 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl4071]) ).

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_cl8626,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__22 @ sk__20 @ X1 @ X0 @ sk__22 @ sk__20 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8609,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_cl8778,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__20 @ X0 @ sk__22 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__22 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8626,zip_derived_cl42]) ).

thf(zip_derived_cl8626_002,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__22 @ sk__20 @ X1 @ X0 @ sk__22 @ sk__20 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8609,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_cl8773,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__22 @ sk__20 @ X1 @ X0 @ sk__22 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8626,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_cl10429,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8773,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_cl10452,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,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_cl10505,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10452,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_cl11025,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10505,zip_derived_cl0]) ).

thf(zip_derived_cl11817,plain,
    ! [X0: $i] : ( cyclic @ sk__20 @ X0 @ sk__22 @ sk__22 ),
    inference(demod,[status(thm)],[zip_derived_cl8778,zip_derived_cl11025]) ).

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_cl12508,plain,
    ! [X0: $i] : ( cyclic @ sk__20 @ sk__22 @ X0 @ sk__22 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11817,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_cl12574,plain,
    ! [X0: $i] : ( cyclic @ sk__20 @ sk__22 @ sk__22 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12508,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_cl12641,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ sk__20 @ sk__22 @ sk__22 @ X1 )
      | ( cyclic @ sk__22 @ sk__22 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12574,zip_derived_cl16]) ).

thf(zip_derived_cl12574_003,plain,
    ! [X0: $i] : ( cyclic @ sk__20 @ sk__22 @ sk__22 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12508,zip_derived_cl13]) ).

thf(zip_derived_cl12647,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__22 @ sk__22 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl12641,zip_derived_cl12574]) ).

thf(zip_derived_cl16_004,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_cl12683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ sk__22 @ sk__22 @ X1 @ X2 )
      | ( cyclic @ sk__22 @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12647,zip_derived_cl16]) ).

thf(zip_derived_cl12647_005,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__22 @ sk__22 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl12641,zip_derived_cl12574]) ).

thf(zip_derived_cl12689,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__22 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12683,zip_derived_cl12647]) ).

thf(zip_derived_cl16_006,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_cl12690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ sk__22 @ X2 @ X1 @ X3 )
      | ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12689,zip_derived_cl16]) ).

thf(zip_derived_cl12689_007,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__22 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12683,zip_derived_cl12647]) ).

thf(zip_derived_cl12696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl12690,zip_derived_cl12689]) ).

thf(zip_derived_cl12697,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_cl12696]) ).

thf(ruleD51,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ M @ B @ C )
        & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
     => ( midp @ M @ B @ C ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X4 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
      | ( midp @ X4 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD51]) ).

thf(zip_derived_cl11025_008,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10505,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_cl11819,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11025,zip_derived_cl2]) ).

thf(zip_derived_cl11025_009,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10505,zip_derived_cl0]) ).

thf(zip_derived_cl12109,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl11819,zip_derived_cl11025]) ).

thf(zip_derived_cl12120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
      | ( midp @ X4 @ X2 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl12109]) ).

thf(zip_derived_cl16392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( circle @ X1 @ X3 @ X2 @ X0 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12697,zip_derived_cl12120]) ).

thf(zip_derived_cl16968,plain,
    midp @ sk__35 @ sk__26 @ sk__35,
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl16392]) ).

thf(zip_derived_cl10429_010,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8773,zip_derived_cl38]) ).

thf(ruleD45,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( para @ E @ F @ B @ C )
        & ( coll @ F @ A @ C ) )
     => ( midp @ F @ A @ C ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ~ ( coll @ X3 @ X1 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD45]) ).

thf(zip_derived_cl12109_011,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl11819,zip_derived_cl11025]) ).

thf(zip_derived_cl12119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl12109]) ).

thf(zip_derived_cl13093,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X1 @ X2 @ X1 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl12119]) ).

thf(zip_derived_cl17021,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16968,zip_derived_cl13093]) ).

thf(zip_derived_cl10429_012,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8773,zip_derived_cl38]) ).

thf(ruleD64,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ C @ B @ D )
        & ( para @ A @ D @ B @ C ) )
     => ( midp @ M @ C @ D ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD64]) ).

thf(zip_derived_cl10446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl64]) ).

thf(zip_derived_cl17104,plain,
    ! [X0: $i] : ( midp @ sk__26 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17021,zip_derived_cl10446]) ).

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_cl17196,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17104,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_cl17836,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__26 @ X1 @ sk__26 @ X1 )
      | ( perp @ sk__26 @ sk__26 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17196,zip_derived_cl56]) ).

thf(zip_derived_cl17196_013,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17104,zip_derived_cl68]) ).

thf(zip_derived_cl17837,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__26 @ sk__26 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl17836,zip_derived_cl17196]) ).

thf(zip_derived_cl12697_014,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_cl12696]) ).

thf(ruleD74,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( perp @ P @ Q @ U @ V ) )
     => ( perp @ A @ B @ C @ D ) ) ).

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

thf(zip_derived_cl13207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X3 @ X2 @ X3 @ X0 )
      | ~ ( perp @ X1 @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12697,zip_derived_cl74]) ).

thf(zip_derived_cl17850,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ sk__26 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17837,zip_derived_cl13207]) ).

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_cl18193,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ sk__26 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17850,zip_derived_cl6]) ).

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_cl18267,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ X1 @ X0 @ X0 )
      | ( cong @ X0 @ X1 @ sk__26 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18193,zip_derived_cl52]) ).

thf(zip_derived_cl117_015,plain,
    circle @ sk__20 @ sk__22 @ sk__23 @ sk__33,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16392_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( circle @ X1 @ X3 @ X2 @ X0 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12697,zip_derived_cl12120]) ).

thf(zip_derived_cl16967,plain,
    midp @ sk__33 @ sk__23 @ sk__33,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl16392]) ).

thf(zip_derived_cl13093_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X1 @ X2 @ X1 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl12119]) ).

thf(zip_derived_cl16983,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16967,zip_derived_cl13093]) ).

thf(zip_derived_cl10446_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl64]) ).

thf(zip_derived_cl16995,plain,
    ! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16983,zip_derived_cl10446]) ).

thf(zip_derived_cl68_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl17074,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16995,zip_derived_cl68]) ).

thf(zip_derived_cl56_020,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_cl17375,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 )
      | ( perp @ sk__23 @ sk__23 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17074,zip_derived_cl56]) ).

thf(zip_derived_cl17074_021,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16995,zip_derived_cl68]) ).

thf(zip_derived_cl17376,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl17375,zip_derived_cl17074]) ).

thf(zip_derived_cl7_022,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_cl17381,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17376,zip_derived_cl7]) ).

thf(zip_derived_cl13207_023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X3 @ X2 @ X3 @ X0 )
      | ~ ( perp @ X1 @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12697,zip_derived_cl74]) ).

thf(zip_derived_cl17408,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X1 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17381,zip_derived_cl13207]) ).

thf(zip_derived_cl10429_024,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8773,zip_derived_cl38]) ).

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_cl10448,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl3]) ).

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

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

thf(zip_derived_cl12421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X1 @ X0 @ X3 @ X2 )
      | ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10448,zip_derived_cl9]) ).

thf(zip_derived_cl17499,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17408,zip_derived_cl12421]) ).

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_cl17651,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ X0 @ X0 @ sk__23 )
      | ( cong @ X1 @ X0 @ X1 @ sk__23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17499,zip_derived_cl55]) ).

thf(zip_derived_cl16983_025,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16967,zip_derived_cl13093]) ).

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_cl16992,plain,
    ! [X0: $i] : ( midp @ X0 @ X0 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16983,zip_derived_cl10]) ).

thf(zip_derived_cl17663,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ sk__23 ),
    inference(demod,[status(thm)],[zip_derived_cl17651,zip_derived_cl16992]) ).

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_cl12109_026,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl11819,zip_derived_cl11025]) ).

thf(zip_derived_cl12123,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_cl12109]) ).

thf(zip_derived_cl17878,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17663,zip_derived_cl12123]) ).

thf(zip_derived_cl10446_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10429,zip_derived_cl64]) ).

thf(zip_derived_cl17896,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17878,zip_derived_cl10446]) ).

thf(zip_derived_cl18276,plain,
    ! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ sk__26 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl18267,zip_derived_cl17896]) ).

thf(zip_derived_cl56_028,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_cl18615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ sk__26 @ X2 )
      | ( perp @ X1 @ sk__26 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18276,zip_derived_cl56]) ).

thf(zip_derived_cl18276_029,plain,
    ! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ sk__26 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl18267,zip_derived_cl17896]) ).

thf(zip_derived_cl18616,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ sk__26 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl18615,zip_derived_cl18276]) ).

thf(zip_derived_cl12421_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X1 @ X0 @ X3 @ X2 )
      | ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10448,zip_derived_cl9]) ).

thf(zip_derived_cl18621,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ sk__26 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18616,zip_derived_cl12421]) ).

thf(zip_derived_cl18636,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl18621]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO602+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qU0RZZTv9p true
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.35  % CPULimit : 300
% 0.21/0.36  % WCLimit  : 300
% 0.21/0.36  % DateTime : Tue Aug 29 20:15:12 EDT 2023
% 0.21/0.36  % CPUTime  : 
% 0.21/0.36  % Running portfolio for 300 s
% 0.21/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 19.90/3.49  % Solved by fo/fo13.sh.
% 19.90/3.49  % done 8357 iterations in 2.676s
% 19.90/3.49  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.90/3.49  % SZS output start Refutation
% See solution above
% 19.90/3.49  
% 19.90/3.49  
% 19.90/3.49  % Terminating...
% 20.69/3.60  % Runner terminated.
% 20.69/3.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------