TSTP Solution File: GEO606+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO606+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.OR9SaArsdX true

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:59:23 EDT 2023

% Result   : Theorem 37.87s 5.99s
% Output   : Refutation 37.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  127 (  37 unt;  15 typ;   0 def)
%            Number of atoms       :  260 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives : 1342 (  90   ~;  88   |;  36   &;1104   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   8 con; 0-8 aty)
%            Number of variables   :  446 (   0   ^; 446   !;   0   ?; 446   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__22_type,type,
    sk__22: $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__24_type,type,
    sk__24: $i ).

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

thf(sk__27_type,type,
    sk__27: $i ).

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

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

thf(sk__20_type,type,
    sk__20: $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(sk__26_type,type,
    sk__26: $i ).

thf(exemplo6GDDFULL618068,conjecture,
    ! [A: $i,B: $i,P: $i,D: $i,E: $i,I: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i,NWPNT01: $i] :
      ( ( ( perp @ P @ A @ P @ B )
        & ( circle @ A @ P @ NWPNT1 @ NWPNT2 )
        & ( circle @ B @ P @ NWPNT3 @ NWPNT4 )
        & ( circle @ A @ P @ D @ NWPNT5 )
        & ( circle @ A @ D @ E @ NWPNT6 )
        & ( coll @ E @ D @ A )
        & ( circle @ A @ P @ I @ NWPNT7 )
        & ( circle @ B @ P @ I @ NWPNT8 )
        & ( coll @ F @ D @ I )
        & ( circle @ B @ P @ F @ NWPNT9 )
        & ( circle @ B @ F @ G @ NWPNT01 )
        & ( coll @ G @ F @ B ) )
     => ( perp @ G @ F @ D @ E ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,P: $i,D: $i,E: $i,I: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i,NWPNT01: $i] :
        ( ( ( perp @ P @ A @ P @ B )
          & ( circle @ A @ P @ NWPNT1 @ NWPNT2 )
          & ( circle @ B @ P @ NWPNT3 @ NWPNT4 )
          & ( circle @ A @ P @ D @ NWPNT5 )
          & ( circle @ A @ D @ E @ NWPNT6 )
          & ( coll @ E @ D @ A )
          & ( circle @ A @ P @ I @ NWPNT7 )
          & ( circle @ B @ P @ I @ NWPNT8 )
          & ( coll @ F @ D @ I )
          & ( circle @ B @ P @ F @ NWPNT9 )
          & ( circle @ B @ F @ G @ NWPNT01 )
          & ( coll @ G @ F @ B ) )
       => ( perp @ G @ F @ D @ E ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618068]) ).

thf(zip_derived_cl113,plain,
    ~ ( perp @ sk__27 @ sk__26 @ sk__23 @ sk__24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl48,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(ruleD57,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q )
        & ( cyclic @ A @ B @ P @ Q ) )
     => ( perp @ P @ A @ A @ Q ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 )
      | ( perp @ X1 @ X0 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD57]) ).

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_cl34,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(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_cl31,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_cl1226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl31]) ).

thf(zip_derived_cl3976,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X0 @ X2 @ X2 @ X0 )
      | ~ ( cong @ X2 @ X0 @ X1 @ X0 )
      | ~ ( cong @ X2 @ X0 @ X1 @ X0 )
      | ~ ( para @ X0 @ X2 @ X0 @ X2 )
      | ~ ( coll @ X0 @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl1226]) ).

thf(zip_derived_cl3978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X0 @ X0 @ X1 )
      | ~ ( para @ X0 @ X2 @ X0 @ X2 )
      | ~ ( cong @ X2 @ X0 @ X1 @ X0 )
      | ( perp @ X0 @ X2 @ X2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3976]) ).

thf(zip_derived_cl102,plain,
    perp @ sk__22 @ sk__20 @ sk__22 @ 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_cl910,plain,
    perp @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl7]) ).

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

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

thf(zip_derived_cl1003,plain,
    perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl6]) ).

thf(zip_derived_cl7_001,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_cl1011,plain,
    perp @ sk__20 @ sk__22 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl1003,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_cl1099,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__22 @ X1 @ X0 )
      | ~ ( perp @ sk__22 @ sk__21 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1011,zip_derived_cl8]) ).

thf(zip_derived_cl1003_002,plain,
    perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl6]) ).

thf(zip_derived_cl3400,plain,
    para @ sk__20 @ sk__22 @ sk__20 @ sk__22,
    inference('sup+',[status(thm)],[zip_derived_cl1099,zip_derived_cl1003]) ).

thf(zip_derived_cl31_003,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(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_cl1190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,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_cl30,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_cl3475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl30]) ).

thf(zip_derived_cl44515,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3400,zip_derived_cl3475]) ).

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

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl44530,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl44515,zip_derived_cl54]) ).

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_cl872,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl44594,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl44530,zip_derived_cl872]) ).

thf(zip_derived_cl2_004,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_cl45608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44594,zip_derived_cl2]) ).

thf(zip_derived_cl44594_005,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl44530,zip_derived_cl872]) ).

thf(zip_derived_cl45666,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl45608,zip_derived_cl44594]) ).

thf(zip_derived_cl44515_006,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3400,zip_derived_cl3475]) ).

thf(zip_derived_cl46837,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X2 @ X0 @ X1 @ X0 )
      | ( perp @ X0 @ X2 @ X2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3978,zip_derived_cl45666,zip_derived_cl44515]) ).

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_cl35,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(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_cl32,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(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_cl1204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ( eqangle @ X2 @ X3 @ X3 @ X0 @ X1 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl17]) ).

thf(zip_derived_cl3672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X2 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1204]) ).

thf(zip_derived_cl3683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3672]) ).

thf(zip_derived_cl1190_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(zip_derived_cl34_008,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_cl3477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl34]) ).

thf(zip_derived_cl44515_009,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3400,zip_derived_cl3475]) ).

thf(zip_derived_cl44594_010,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl44530,zip_derived_cl872]) ).

thf(zip_derived_cl45679,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3477,zip_derived_cl44515,zip_derived_cl44594]) ).

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_cl45690,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl45679,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_cl46175,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl45690,zip_derived_cl13]) ).

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_cl46204,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46175,zip_derived_cl15]) ).

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_cl46245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46204,zip_derived_cl16]) ).

thf(zip_derived_cl46204_011,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46175,zip_derived_cl15]) ).

thf(zip_derived_cl46263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl46245,zip_derived_cl46204]) ).

thf(zip_derived_cl46263_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl46245,zip_derived_cl46204]) ).

thf(zip_derived_cl46263_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl46245,zip_derived_cl46204]) ).

thf(zip_derived_cl46613,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl3683,zip_derived_cl46263,zip_derived_cl46263,zip_derived_cl46263]) ).

thf(zip_derived_cl46840,plain,
    ! [X0: $i,X1: $i] : ( perp @ X0 @ X1 @ X1 @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl46837,zip_derived_cl46613]) ).

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_cl44,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_cl46989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X2 @ X1 @ X2 )
      | ~ ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46840,zip_derived_cl44]) ).

thf(zip_derived_cl44515_014,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3400,zip_derived_cl3475]) ).

thf(zip_derived_cl35_015,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_cl31_016,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(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_cl1192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).

thf(zip_derived_cl3587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X4 @ X2 @ X3 @ X1 )
      | ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
      | ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
      | ( cong @ X4 @ X2 @ X0 @ X0 )
      | ~ ( para @ X3 @ X4 @ X3 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1192]) ).

thf(zip_derived_cl3598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X3 @ X4 @ X3 @ X2 )
      | ( cong @ X4 @ X2 @ X0 @ X0 )
      | ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
      | ~ ( cyclic @ X4 @ X2 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3587]) ).

thf(zip_derived_cl46263_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl46245,zip_derived_cl46204]) ).

thf(zip_derived_cl46263_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl46245,zip_derived_cl46204]) ).

thf(zip_derived_cl46507,plain,
    ! [X0: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X3 @ X4 @ X3 @ X2 )
      | ( cong @ X4 @ X2 @ X0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl46263,zip_derived_cl46263]) ).

thf(zip_derived_cl46508,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl44515,zip_derived_cl46507]) ).

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_cl55,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_cl45666_019,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl45608,zip_derived_cl44594]) ).

thf(zip_derived_cl45715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl45666]) ).

thf(zip_derived_cl46519,plain,
    ! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46508,zip_derived_cl45715]) ).

thf(zip_derived_cl44515_020,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3400,zip_derived_cl3475]) ).

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_cl52,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_cl1540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl44538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44515,zip_derived_cl1540]) ).

thf(zip_derived_cl46556,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl46519,zip_derived_cl44538]) ).

thf(zip_derived_cl47012,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X2 @ X1 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl46989,zip_derived_cl46556]) ).

thf(zip_derived_cl47012_021,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X2 @ X1 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl46989,zip_derived_cl46556]) ).

thf(zip_derived_cl47219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47012,zip_derived_cl47012]) ).

thf(zip_derived_cl47299,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl47219]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OR9SaArsdX true
% 0.15/0.35  % Computer : n028.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
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 21:43:56 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.69/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.69/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.69/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.69/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.69/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.69/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.69/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 37.87/5.99  % Solved by fo/fo3_bce.sh.
% 37.87/5.99  % BCE start: 114
% 37.87/5.99  % BCE eliminated: 1
% 37.87/5.99  % PE start: 113
% 37.87/5.99  logic: eq
% 37.87/5.99  % PE eliminated: 0
% 37.87/5.99  % done 10799 iterations in 5.235s
% 37.87/5.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 37.87/5.99  % SZS output start Refutation
% See solution above
% 37.87/5.99  
% 37.87/5.99  
% 37.87/5.99  % Terminating...
% 38.17/6.07  % Runner terminated.
% 38.17/6.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------