TSTP Solution File: GEO613+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO613+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nJpAhZ1vk9 true

% Computer : n006.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 23:59:25 EDT 2023

% Result   : Theorem 67.38s 10.29s
% Output   : Refutation 67.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  103 (  19 unt;  16 typ;   0 def)
%            Number of atoms       :  208 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 1159 (  72   ~;  73   |;  28   &; 966   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   9 con; 0-8 aty)
%            Number of variables   :  389 (   0   ^; 389   !;   0   ?; 389   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__26_type,type,
    sk__26: $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(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__27_type,type,
    sk__27: $i ).

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

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

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

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

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

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

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

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

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

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(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_cl1212,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_cl31_001,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(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_cl1210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ~ ( eqangle @ X3 @ X2 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).

thf(zip_derived_cl4170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( para @ X5 @ X4 @ X1 @ X0 )
      | ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( para @ X7 @ X6 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1212,zip_derived_cl1210]) ).

thf(exemplo6GDDFULL618075y,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
      ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
        & ( circle @ C @ B @ NWPNT3 @ NWPNT4 )
        & ( circle @ A @ B @ D @ NWPNT5 )
        & ( circle @ C @ B @ D @ NWPNT6 )
        & ( midp @ E @ D @ B )
        & ( circle @ A @ B @ F @ NWPNT7 )
        & ( circle @ C @ B @ G @ NWPNT8 )
        & ( coll @ G @ B @ F )
        & ( coll @ H @ A @ F )
        & ( coll @ H @ C @ G ) )
     => ( eqangle @ F @ D @ D @ G @ A @ H @ H @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
        ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
          & ( circle @ C @ B @ NWPNT3 @ NWPNT4 )
          & ( circle @ A @ B @ D @ NWPNT5 )
          & ( circle @ C @ B @ D @ NWPNT6 )
          & ( midp @ E @ D @ B )
          & ( circle @ A @ B @ F @ NWPNT7 )
          & ( circle @ C @ B @ G @ NWPNT8 )
          & ( coll @ G @ B @ F )
          & ( coll @ H @ A @ F )
          & ( coll @ H @ C @ G ) )
       => ( eqangle @ F @ D @ D @ G @ A @ H @ H @ C ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618075y]) ).

thf(zip_derived_cl111,plain,
    ~ ( eqangle @ sk__25 @ sk__23 @ sk__23 @ sk__26 @ sk__20 @ sk__27 @ sk__27 @ sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49492,plain,
    ( ~ ( para @ sk__25 @ sk__23 @ sk__20 @ sk__27 )
    | ~ ( para @ sk__23 @ sk__26 @ sk__27 @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4170,zip_derived_cl111]) ).

thf(zip_derived_cl31_002,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_cl1214,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_cl4236,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_cl1214,zip_derived_cl34]) ).

thf(zip_derived_cl1214_003,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_cl4235,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_cl1214,zip_derived_cl33]) ).

thf(zip_derived_cl52608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X0 @ X0 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4236,zip_derived_cl4235]) ).

thf(zip_derived_cl106,plain,
    midp @ sk__24 @ sk__23 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD11,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl827,plain,
    midp @ sk__24 @ sk__21 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl10]) ).

thf(ruleD44,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( midp @ F @ A @ C ) )
     => ( para @ E @ F @ B @ C ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X1 @ X4 )
      | ( para @ X0 @ X3 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD44]) ).

thf(zip_derived_cl1300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( para @ X2 @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl4818,plain,
    para @ sk__24 @ sk__24 @ sk__23 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl827,zip_derived_cl1300]) ).

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_cl5384,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__24 @ sk__24 @ X1 @ X0 )
      | ~ ( para @ sk__23 @ sk__23 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4818,zip_derived_cl5]) ).

thf(zip_derived_cl1212_004,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_cl4154,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_cl1212,zip_derived_cl30]) ).

thf(zip_derived_cl77236,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( para @ sk__23 @ sk__23 @ sk__24 @ sk__24 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5384,zip_derived_cl4154]) ).

thf(zip_derived_cl4818_005,plain,
    para @ sk__24 @ sk__24 @ sk__23 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl827,zip_derived_cl1300]) ).

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_cl5388,plain,
    para @ sk__23 @ sk__23 @ sk__24 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl4818,zip_derived_cl4]) ).

thf(zip_derived_cl77262,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl77236,zip_derived_cl5388]) ).

thf(zip_derived_cl77286,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl52608,zip_derived_cl77262]) ).

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_cl79275,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X1 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl77286,zip_derived_cl14]) ).

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(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(zip_derived_cl1285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).

thf(zip_derived_cl1286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1285]) ).

thf(zip_derived_cl4668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1286]) ).

thf(zip_derived_cl79625,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ X1 @ X0 @ X1 @ X1 )
      | ( cong @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79275,zip_derived_cl4668]) ).

thf(zip_derived_cl33_006,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_cl31_007,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_cl1244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X1 @ X1 @ X2 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

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_cl4545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X0 @ X2 @ X0 @ X2 )
      | ( coll @ X0 @ X0 @ X2 )
      | ( cyclic @ X1 @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1244,zip_derived_cl15]) ).

thf(zip_derived_cl1212_008,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_009,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_cl4156,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_cl1212,zip_derived_cl34]) ).

thf(zip_derived_cl61441,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X1 @ X2 @ X0 @ X0 )
      | ~ ( para @ X0 @ X2 @ X0 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4545,zip_derived_cl4156]) ).

thf(zip_derived_cl77262_010,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl77236,zip_derived_cl5388]) ).

thf(zip_derived_cl77287,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl61441,zip_derived_cl77262]) ).

thf(zip_derived_cl79651,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl79625,zip_derived_cl77287]) ).

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(zip_derived_cl79929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79651,zip_derived_cl48]) ).

thf(zip_derived_cl79651_011,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl79625,zip_derived_cl77287]) ).

thf(zip_derived_cl79960,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl79929,zip_derived_cl79651]) ).

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_cl80158,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl79960,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_cl80218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X2 @ X1 @ X4 @ X3 )
      | ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80158,zip_derived_cl8]) ).

thf(zip_derived_cl79960_012,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl79929,zip_derived_cl79651]) ).

thf(zip_derived_cl80235,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl80218,zip_derived_cl79960]) ).

thf(zip_derived_cl80235_013,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl80218,zip_derived_cl79960]) ).

thf(zip_derived_cl80300,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl49492,zip_derived_cl80235,zip_derived_cl80235]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO613+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nJpAhZ1vk9 true
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 20:17:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.50/0.64  % Total configuration time : 435
% 0.50/0.64  % Estimated wc time : 1092
% 0.50/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 67.38/10.29  % Solved by fo/fo3_bce.sh.
% 67.38/10.29  % BCE start: 112
% 67.38/10.29  % BCE eliminated: 1
% 67.38/10.29  % PE start: 111
% 67.38/10.29  logic: eq
% 67.38/10.29  % PE eliminated: 0
% 67.38/10.29  % done 16309 iterations in 9.532s
% 67.38/10.29  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.38/10.29  % SZS output start Refutation
% See solution above
% 67.38/10.29  
% 67.38/10.29  
% 67.38/10.29  % Terminating...
% 67.72/10.41  % Runner terminated.
% 67.72/10.41  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------