TSTP Solution File: GEO569+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO569+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.N5D5ow9kNB true

% Computer : n013.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 23:59:11 EDT 2023

% Result   : Theorem 95.12s 14.23s
% Output   : Refutation 95.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  112 (  36 unt;  14 typ;   0 def)
%            Number of atoms       :  192 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  887 (  61   ~;  60   |;  18   &; 732   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   8 con; 0-8 aty)
%            Number of variables   :  264 (   0   ^; 264   !;   0   ?; 264   :)

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

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

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

thf(sk__27_type,type,
    sk__27: $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__21_type,type,
    sk__21: $i ).

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

thf(sk__24_type,type,
    sk__24: $i ).

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

thf(exemplo6GDDFULL214031,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,C1: $i,B1: $i,P: $i,Q: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( midp @ C1 @ B @ A )
        & ( midp @ B1 @ C @ A )
        & ( coll @ P @ O @ C1 )
        & ( coll @ P @ A @ C )
        & ( coll @ Q @ O @ B1 )
        & ( coll @ Q @ A @ B ) )
     => ( cyclic @ Q @ B @ C @ P ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,C1: $i,B1: $i,P: $i,Q: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( midp @ C1 @ B @ A )
          & ( midp @ B1 @ C @ A )
          & ( coll @ P @ O @ C1 )
          & ( coll @ P @ A @ C )
          & ( coll @ Q @ O @ B1 )
          & ( coll @ Q @ A @ B ) )
       => ( cyclic @ Q @ B @ C @ P ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214031]) ).

thf(zip_derived_cl101,plain,
    ~ ( cyclic @ sk__27 @ sk__21 @ sk__22 @ sk__26 ),
    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_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(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_cl1210,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(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(zip_derived_cl4686,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ~ ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1210,zip_derived_cl34]) ).

thf(zip_derived_cl1210_001,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(ruleD42a,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ~ ( coll @ P @ Q @ A ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ( coll @ X2 @ X3 @ X0 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42a]) ).

thf(zip_derived_cl4685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1210,zip_derived_cl33]) ).

thf(zip_derived_cl62741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X0 @ X0 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4686,zip_derived_cl4685]) ).

thf(ruleD53,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ O @ A @ C ) )
     => ( perp @ A @ B @ B @ C ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD53]) ).

thf(zip_derived_cl104,plain,
    circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1458,plain,
    ( ~ ( coll @ sk__23 @ sk__20 @ sk__22 )
    | ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl104]) ).

thf(ruleD69,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl105,plain,
    midp @ sk__24 @ sk__21 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl769,plain,
    coll @ sk__24 @ sk__21 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl105]) ).

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_cl805,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__21 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl2]) ).

thf(zip_derived_cl769_002,plain,
    coll @ sk__24 @ sk__21 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl105]) ).

thf(zip_derived_cl1000,plain,
    coll @ sk__20 @ sk__20 @ sk__24,
    inference('sup+',[status(thm)],[zip_derived_cl805,zip_derived_cl769]) ).

thf(zip_derived_cl2_003,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_cl791,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_cl1025,plain,
    coll @ sk__24 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1000,zip_derived_cl791]) ).

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_cl1090,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1025,zip_derived_cl2]) ).

thf(zip_derived_cl107,plain,
    coll @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_005,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_cl785,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__26 )
      | ~ ( coll @ sk__26 @ sk__23 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl2]) ).

thf(zip_derived_cl107_006,plain,
    coll @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl910,plain,
    coll @ sk__24 @ sk__24 @ sk__26,
    inference('sup+',[status(thm)],[zip_derived_cl785,zip_derived_cl107]) ).

thf(zip_derived_cl2347,plain,
    coll @ sk__20 @ sk__26 @ sk__24,
    inference('sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl910]) ).

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_cl2365,plain,
    coll @ sk__26 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl2347,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_cl2390,plain,
    coll @ sk__26 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl2365,zip_derived_cl0]) ).

thf(zip_derived_cl107_007,plain,
    coll @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl761,plain,
    coll @ sk__26 @ sk__24 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl0]) ).

thf(zip_derived_cl2_009,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_cl786,plain,
    ! [X0: $i] :
      ( ( coll @ sk__23 @ X0 @ sk__26 )
      | ~ ( coll @ sk__26 @ sk__24 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl2]) ).

thf(zip_derived_cl2442,plain,
    coll @ sk__23 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl2390,zip_derived_cl786]) ).

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

thf(zip_derived_cl2504,plain,
    coll @ sk__23 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl2442,zip_derived_cl0]) ).

thf(zip_derived_cl1_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl2566,plain,
    coll @ sk__26 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl2504,zip_derived_cl1]) ).

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_cl2660,plain,
    coll @ sk__26 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl2566,zip_derived_cl0]) ).

thf(zip_derived_cl108,plain,
    coll @ sk__26 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_013,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_cl784,plain,
    ! [X0: $i] :
      ( ( coll @ sk__22 @ X0 @ sk__26 )
      | ~ ( coll @ sk__26 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl2]) ).

thf(zip_derived_cl2791,plain,
    coll @ sk__22 @ sk__23 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl2660,zip_derived_cl784]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl3154,plain,
    coll @ sk__22 @ sk__26 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl2791,zip_derived_cl0]) ).

thf(zip_derived_cl108_015,plain,
    coll @ sk__26 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl773,plain,
    coll @ sk__26 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl0]) ).

thf(zip_derived_cl1_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl813,plain,
    coll @ sk__22 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl773,zip_derived_cl1]) ).

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

thf(zip_derived_cl851,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__26 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl2]) ).

thf(zip_derived_cl3422,plain,
    coll @ sk__20 @ sk__23 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl3154,zip_derived_cl851]) ).

thf(zip_derived_cl1_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl3841,plain,
    coll @ sk__23 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl3422,zip_derived_cl1]) ).

thf(zip_derived_cl7001,plain,
    perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl3841]) ).

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_cl7002,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7001,zip_derived_cl8]) ).

thf(zip_derived_cl7001_020,plain,
    perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl3841]) ).

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_cl7004,plain,
    perp @ sk__21 @ sk__22 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl7001,zip_derived_cl7]) ).

thf(zip_derived_cl112764,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl7002,zip_derived_cl7004]) ).

thf(zip_derived_cl31_021,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_cl1208,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_cl4585,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_cl1208,zip_derived_cl30]) ).

thf(zip_derived_cl114675,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl112764,zip_derived_cl4585]) ).

thf(zip_derived_cl114730,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl62741,zip_derived_cl114675]) ).

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_cl117200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X2 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl114730,zip_derived_cl16]) ).

thf(zip_derived_cl114730_022,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl62741,zip_derived_cl114675]) ).

thf(zip_derived_cl117271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl117200,zip_derived_cl114730]) ).

thf(zip_derived_cl117915,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl117271]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO569+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.N5D5ow9kNB true
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 23:41:31 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.55/0.67  % Total configuration time : 435
% 0.55/0.67  % Estimated wc time : 1092
% 0.55/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 95.12/14.23  % Solved by fo/fo3_bce.sh.
% 95.12/14.23  % BCE start: 109
% 95.12/14.23  % BCE eliminated: 1
% 95.12/14.23  % PE start: 108
% 95.12/14.23  logic: eq
% 95.12/14.23  % PE eliminated: 0
% 95.12/14.23  % done 22542 iterations in 13.477s
% 95.12/14.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 95.12/14.23  % SZS output start Refutation
% See solution above
% 95.12/14.23  
% 95.12/14.23  
% 95.12/14.23  % Terminating...
% 95.72/14.30  % Runner terminated.
% 95.72/14.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------