TSTP Solution File: GEO611+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO611+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.ebo82UT2r6 true
% Computer : n011.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 23:59:24 EDT 2023
% Result : Theorem 18.58s 3.28s
% Output : Refutation 18.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 46
% Syntax : Number of formulae : 235 ( 96 unt; 17 typ; 0 def)
% Number of atoms : 401 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 1946 ( 124 ~; 122 |; 31 &;1639 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 9 con; 0-8 aty)
% Number of variables : 634 ( 0 ^; 633 !; 1 ?; 634 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__15_type,type,
sk__15: $i > $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(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__21_type,type,
sk__21: $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(exemplo6GDDFULL618073,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i] :
( ( ( circle @ D @ A @ B @ C )
& ( circle @ D @ A @ E @ NWPNT1 )
& ( perp @ F @ E @ A @ C )
& ( coll @ F @ A @ C )
& ( perp @ G @ E @ A @ B )
& ( coll @ G @ A @ B )
& ( circle @ D @ E @ H @ NWPNT2 )
& ( coll @ H @ E @ G ) )
=> ( para @ G @ F @ 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] :
( ( ( circle @ D @ A @ B @ C )
& ( circle @ D @ A @ E @ NWPNT1 )
& ( perp @ F @ E @ A @ C )
& ( coll @ F @ A @ C )
& ( perp @ G @ E @ A @ B )
& ( coll @ G @ A @ B )
& ( circle @ D @ E @ H @ NWPNT2 )
& ( coll @ H @ E @ G ) )
=> ( para @ G @ F @ H @ C ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618073]) ).
thf(zip_derived_cl121,plain,
~ ( para @ sk__26 @ sk__25 @ sk__27 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl44,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(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_cl116,plain,
perp @ sk__25 @ sk__24 @ sk__20 @ sk__22,
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_cl338,plain,
perp @ sk__20 @ sk__22 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl7]) ).
thf(zip_derived_cl116_001,plain,
perp @ sk__25 @ sk__24 @ sk__20 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD9]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__25 @ sk__24 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__22 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl8]) ).
thf(zip_derived_cl3157,plain,
para @ sk__25 @ sk__24 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl373]) ).
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_cl3247,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3157,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_cl3885,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 ),
inference('sup-',[status(thm)],[zip_derived_cl3247,zip_derived_cl18]) ).
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_cl4415,plain,
! [X0: $i] :
( ~ ( coll @ sk__25 @ sk__25 @ sk__24 )
| ( cyclic @ X0 @ sk__24 @ sk__25 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3885,zip_derived_cl42]) ).
thf(zip_derived_cl120,plain,
coll @ sk__27 @ sk__24 @ sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD2,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl128,plain,
coll @ sk__24 @ sk__27 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).
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_cl166,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_cl174,plain,
coll @ sk__26 @ sk__26 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl166]) ).
thf(zip_derived_cl119,plain,
coll @ sk__26 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl127,plain,
coll @ sk__20 @ sk__26 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl119,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_cl138,plain,
coll @ sk__20 @ sk__21 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl0]) ).
thf(zip_derived_cl166_003,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_cl168,plain,
coll @ sk__26 @ sk__26 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl166]) ).
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_cl199,plain,
! [X0: $i] :
( ( coll @ sk__20 @ X0 @ sk__26 )
| ~ ( coll @ sk__26 @ sk__26 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl572,plain,
coll @ sk__20 @ sk__24 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl199]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl576,plain,
coll @ sk__20 @ sk__26 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl0]) ).
thf(zip_derived_cl166_006,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_cl587,plain,
coll @ sk__24 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl166]) ).
thf(zip_derived_cl166_007,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_cl610,plain,
coll @ sk__20 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl166]) ).
thf(zip_derived_cl117,plain,
coll @ sk__25 @ sk__20 @ sk__22,
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_cl122,plain,
coll @ sk__25 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl0]) ).
thf(zip_derived_cl1_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl131,plain,
coll @ sk__22 @ sk__25 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1]) ).
thf(zip_derived_cl166_010,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_cl173,plain,
coll @ sk__20 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl166]) ).
thf(zip_derived_cl2_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X1 @ X3 )
| ( coll @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ruleD3]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( coll @ sk__22 @ X0 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl2]) ).
thf(zip_derived_cl1255,plain,
coll @ sk__22 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl610,zip_derived_cl220]) ).
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_cl1260,plain,
coll @ sk__22 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl1255,zip_derived_cl0]) ).
thf(zip_derived_cl131_013,plain,
coll @ sk__22 @ sk__25 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1]) ).
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_cl142,plain,
coll @ sk__22 @ sk__20 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl0]) ).
thf(zip_derived_cl2_015,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_cl187,plain,
! [X0: $i] :
( ( coll @ sk__25 @ X0 @ sk__22 )
| ~ ( coll @ sk__22 @ sk__20 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl2]) ).
thf(zip_derived_cl1271,plain,
coll @ sk__25 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl1260,zip_derived_cl187]) ).
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_cl1298,plain,
coll @ sk__25 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl1271,zip_derived_cl0]) ).
thf(zip_derived_cl166_017,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_cl1342,plain,
coll @ sk__24 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl1298,zip_derived_cl166]) ).
thf(zip_derived_cl166_018,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_cl1416,plain,
coll @ sk__25 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl166]) ).
thf(zip_derived_cl4425,plain,
! [X0: $i] : ( cyclic @ X0 @ sk__24 @ sk__25 @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl4415,zip_derived_cl1416]) ).
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_cl4913,plain,
! [X0: $i] : ( cyclic @ sk__24 @ X0 @ sk__25 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl4425,zip_derived_cl15]) ).
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_cl5084,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ X0 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl4913,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_cl5233,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5084,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_cl5308,plain,
! [X0: $i,X1: $i] :
( ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 )
| ~ ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5233,zip_derived_cl16]) ).
thf(zip_derived_cl5233_019,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5084,zip_derived_cl13]) ).
thf(zip_derived_cl5316,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5308,zip_derived_cl5233]) ).
thf(zip_derived_cl16_020,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_cl5413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cyclic @ sk__25 @ X1 @ X0 @ X2 )
| ~ ( cyclic @ sk__25 @ sk__25 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5316,zip_derived_cl16]) ).
thf(zip_derived_cl5316_021,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5308,zip_derived_cl5233]) ).
thf(zip_derived_cl5421,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl5413,zip_derived_cl5316]) ).
thf(zip_derived_cl16_022,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_cl5525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ sk__25 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5421,zip_derived_cl16]) ).
thf(zip_derived_cl5421_023,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl5413,zip_derived_cl5316]) ).
thf(zip_derived_cl5533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5525,zip_derived_cl5421]) ).
thf(zip_derived_cl5630,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_cl5533]) ).
thf(ruleD43,axiom,
! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( ( cyclic @ A @ B @ C @ P )
& ( cyclic @ A @ B @ C @ Q )
& ( cyclic @ A @ B @ C @ R )
& ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
=> ( cong @ A @ B @ P @ Q ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
| ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD43]) ).
thf(zip_derived_cl5533_024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5525,zip_derived_cl5421]) ).
thf(zip_derived_cl5533_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5525,zip_derived_cl5421]) ).
thf(zip_derived_cl5533_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5525,zip_derived_cl5421]) ).
thf(zip_derived_cl5631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl5533,zip_derived_cl5533,zip_derived_cl5533]) ).
thf(zip_derived_cl15386,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5630,zip_derived_cl5631]) ).
thf(ruleD12,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD12]) ).
thf(zip_derived_cl457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
| ( circle @ X1 @ X2 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16664,plain,
! [X0: $i,X1: $i] : ( circle @ X1 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl15386,zip_derived_cl457]) ).
thf(zip_derived_cl3885_027,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 ),
inference('sup-',[status(thm)],[zip_derived_cl3247,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_cl4413,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3885,zip_derived_cl38]) ).
thf(zip_derived_cl39_028,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_cl4437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X1 @ X0 @ X3 @ X2 @ X1 @ X0 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl4413,zip_derived_cl39]) ).
thf(ruleD49,axiom,
! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
=> ( perp @ O @ A @ A @ X ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X1 @ X4 @ X1 @ X2 @ X3 @ X1 @ X3 @ X2 )
| ( perp @ X0 @ X1 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD49]) ).
thf(zip_derived_cl12866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X1 @ X1 )
| ~ ( circle @ X2 @ X1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4437,zip_derived_cl49]) ).
thf(zip_derived_cl17100,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl16664,zip_derived_cl12866]) ).
thf(zip_derived_cl338_029,plain,
perp @ sk__20 @ sk__22 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl116,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_cl472,plain,
perp @ sk__20 @ sk__22 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl6]) ).
thf(zip_derived_cl373_030,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__25 @ sk__24 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__22 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl8]) ).
thf(zip_derived_cl3156,plain,
para @ sk__25 @ sk__24 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl373]) ).
thf(zip_derived_cl39_031,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_cl3229,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3156,zip_derived_cl39]) ).
thf(zip_derived_cl18_032,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_cl3859,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl3229,zip_derived_cl18]) ).
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_cl4363,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__25 @ sk__24 @ sk__24 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl3859,zip_derived_cl20]) ).
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_cl11855,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__25 @ sk__24 @ sk__24 @ sk__25 )
| ( perp @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4363,zip_derived_cl74]) ).
thf(zip_derived_cl114,plain,
circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl53,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_cl1290,plain,
( ~ ( coll @ sk__23 @ sk__20 @ sk__22 )
| ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl53]) ).
thf(zip_derived_cl4413_033,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3885,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_cl4444,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4413,zip_derived_cl66]) ).
thf(zip_derived_cl166_034,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_cl4458,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4444,zip_derived_cl166]) ).
thf(zip_derived_cl2_035,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_cl4815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4458,zip_derived_cl2]) ).
thf(zip_derived_cl4458_036,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4444,zip_derived_cl166]) ).
thf(zip_derived_cl4820,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl4458]) ).
thf(zip_derived_cl4836,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1290,zip_derived_cl4820]) ).
thf(zip_derived_cl6_037,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_cl4855,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl4836,zip_derived_cl6]) ).
thf(zip_derived_cl7_038,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_cl4891,plain,
perp @ sk__22 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl4855,zip_derived_cl7]) ).
thf(zip_derived_cl6_039,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_cl5003,plain,
perp @ sk__22 @ sk__21 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl4891,zip_derived_cl6]) ).
thf(ruleX14,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
? [O: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( cyclic @ A @ B @ C @ D ) )
=> ( circle @ O @ A @ B @ C ) ) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleX14]) ).
thf(zip_derived_cl5533_040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5525,zip_derived_cl5421]) ).
thf(zip_derived_cl5635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl5533]) ).
thf(zip_derived_cl5953,plain,
circle @ ( sk__15 @ sk__21 @ sk__20 @ sk__22 ) @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl5003,zip_derived_cl5635]) ).
thf(zip_derived_cl53_041,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_cl4820_042,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl4458]) ).
thf(zip_derived_cl4831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( circle @ X3 @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl4820]) ).
thf(zip_derived_cl6550,plain,
perp @ sk__22 @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl5953,zip_derived_cl4831]) ).
thf(zip_derived_cl4413_043,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3885,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_cl4440,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4413,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_cl4843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X3 @ X2 )
| ~ ( perp @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4440,zip_derived_cl9]) ).
thf(zip_derived_cl6566,plain,
perp @ sk__20 @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl6550,zip_derived_cl4843]) ).
thf(zip_derived_cl4836_044,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1290,zip_derived_cl4820]) ).
thf(zip_derived_cl5635_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl5533]) ).
thf(zip_derived_cl5951,plain,
circle @ ( sk__15 @ sk__21 @ sk__22 @ sk__20 ) @ sk__20 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl4836,zip_derived_cl5635]) ).
thf(zip_derived_cl4831_046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( circle @ X3 @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl4820]) ).
thf(zip_derived_cl5977,plain,
perp @ sk__20 @ sk__22 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl5951,zip_derived_cl4831]) ).
thf(zip_derived_cl7_047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD8]) ).
thf(zip_derived_cl5984,plain,
perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl5977,zip_derived_cl7]) ).
thf(zip_derived_cl4855_048,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl4836,zip_derived_cl6]) ).
thf(zip_derived_cl8_049,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_cl4887,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__22 @ sk__21 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4855,zip_derived_cl8]) ).
thf(zip_derived_cl6012,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl5984,zip_derived_cl4887]) ).
thf(zip_derived_cl9_050,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_cl6097,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__22 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6012,zip_derived_cl9]) ).
thf(zip_derived_cl7975,plain,
perp @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl6566,zip_derived_cl6097]) ).
thf(zip_derived_cl3229_051,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3156,zip_derived_cl39]) ).
thf(zip_derived_cl20_052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD21]) ).
thf(zip_derived_cl3861,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ sk__24 @ sk__25 @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3229,zip_derived_cl20]) ).
thf(zip_derived_cl74_053,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_cl4380,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ X1 @ X0 @ X1 @ X0 )
| ( perp @ sk__25 @ sk__24 @ sk__24 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3861,zip_derived_cl74]) ).
thf(zip_derived_cl7990,plain,
perp @ sk__25 @ sk__24 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl7975,zip_derived_cl4380]) ).
thf(zip_derived_cl11863,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl11855,zip_derived_cl7990]) ).
thf(zip_derived_cl6_054,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_cl11867,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl11863,zip_derived_cl6]) ).
thf(zip_derived_cl8_055,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_cl11971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X3 @ X2 )
| ~ ( perp @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11867,zip_derived_cl8]) ).
thf(zip_derived_cl17972,plain,
! [X0: $i,X1: $i] : ( para @ X0 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl17100,zip_derived_cl11971]) ).
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_cl4820_056,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl4458]) ).
thf(zip_derived_cl4829,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_cl4820]) ).
thf(zip_derived_cl18854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X1 @ X2 @ X0 )
| ~ ( midp @ X0 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17972,zip_derived_cl4829]) ).
thf(zip_derived_cl15386_057,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5630,zip_derived_cl5631]) ).
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_cl4820_058,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4815,zip_derived_cl4458]) ).
thf(zip_derived_cl4833,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_cl4820]) ).
thf(zip_derived_cl16658,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl15386,zip_derived_cl4833]) ).
thf(zip_derived_cl4413_059,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3885,zip_derived_cl38]) ).
thf(zip_derived_cl4829_060,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_cl4820]) ).
thf(zip_derived_cl5847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X2 @ X0 )
| ~ ( midp @ X1 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4413,zip_derived_cl4829]) ).
thf(zip_derived_cl16738,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl16658,zip_derived_cl5847]) ).
thf(zip_derived_cl18892,plain,
! [X0: $i,X1: $i,X2: $i] : ( midp @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl18854,zip_derived_cl16738]) ).
thf(zip_derived_cl18892_061,plain,
! [X0: $i,X1: $i,X2: $i] : ( midp @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl18854,zip_derived_cl16738]) ).
thf(zip_derived_cl19405,plain,
! [X0: $i,X2: $i,X3: $i,X4: $i] : ( para @ X0 @ X3 @ X2 @ X4 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl18892,zip_derived_cl18892]) ).
thf(zip_derived_cl20343,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl19405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ebo82UT2r6 true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:24:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.58/3.28 % Solved by fo/fo5.sh.
% 18.58/3.28 % done 8601 iterations in 2.500s
% 18.58/3.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.58/3.28 % SZS output start Refutation
% See solution above
% 18.58/3.29
% 18.58/3.29
% 18.58/3.29 % Terminating...
% 19.02/3.36 % Runner terminated.
% 19.02/3.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------