TSTP Solution File: GEO617+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : 600s
% DateTime : Sat Jul 16 06:25:32 EDT 2022
% Result : Theorem 71.00s 71.21s
% Output : Refutation 71.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 52
% Syntax : Number of clauses : 464 ( 219 unt; 5 nHn; 464 RR)
% Number of literals : 836 ( 0 equ; 371 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc8,skc11,skc10),
file('GEO617+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc9,skc11,skc10),
file('GEO617+1.p',unknown),
[] ).
cnf(3,axiom,
circle(skc7,skc11,skc10,skc6),
file('GEO617+1.p',unknown),
[] ).
cnf(4,axiom,
perp(skc9,skc6,skc11,skc10),
file('GEO617+1.p',unknown),
[] ).
cnf(5,axiom,
eqangle(skc8,skc6,skc6,skc10,skc8,skc6,skc6,skc11),
file('GEO617+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(10,axiom,
~ eqangle(skc9,skc6,skc6,skc8,skc8,skc6,skc6,skc7),
file('GEO617+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO617+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO617+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO617+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ midp(u,v,w)
| ~ midp(x,v,y)
| para(x,u,y,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ coll(u,v,w)
| ~ circle(u,v,x,w)
| perp(v,x,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ midp(u,v,w)
| ~ perp(x,u,v,w)
| cong(x,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cong(u,v,w,x)
| ~ cong(y,z,u,v)
| cong(y,z,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO617+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO617+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO617+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO617+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ perp(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| perp(y,z,x1,x2) ),
file('GEO617+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO617+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO617+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ circle(u,v,w,x)
| ~ eqangle(v,y,v,w,x,v,x,w)
| perp(u,v,v,y) ),
file('GEO617+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO617+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ coll(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(y,v,y,w,x,v,x,u)
| midp(u,v,w) ),
file('GEO617+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO617+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO617+1.p',unknown),
[] ).
cnf(122,plain,
coll(skc9,skc10,skc11),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.0,6.0')] ).
cnf(124,plain,
( ~ circle(skc9,skc11,u,skc10)
| perp(skc11,u,u,skc10) ),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.1')] ).
cnf(125,plain,
( ~ coll(skc9,skc11,u)
| coll(u,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.1')] ).
cnf(145,plain,
coll(skc8,skc10,skc11),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.0')] ).
cnf(146,plain,
coll(skc11,skc8,skc10),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(148,plain,
( ~ coll(skc8,skc11,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.1')] ).
cnf(174,plain,
( ~ perp(skc11,skc10,u,v)
| para(skc9,skc6,u,v) ),
inference(res,[status(thm),theory(equality)],[4,42]),
[iquote('0:Res:4.0,42.0')] ).
cnf(175,plain,
perp(skc9,skc6,skc10,skc11),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.0')] ).
cnf(176,plain,
perp(skc11,skc10,skc9,skc6),
inference(res,[status(thm),theory(equality)],[4,16]),
[iquote('0:Res:4.0,16.0')] ).
cnf(181,plain,
( ~ perp(u,v,skc9,skc6)
| para(u,v,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[4,42]),
[iquote('0:Res:4.0,42.1')] ).
cnf(185,plain,
( ~ coll(u,skc10,skc6)
| ~ eqangle(skc11,skc10,skc11,skc6,skc7,skc10,skc7,u)
| midp(u,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[3,105]),
[iquote('0:Res:3.0,105.0')] ).
cnf(186,plain,
( ~ perp(skc7,skc11,skc11,u)
| eqangle(skc11,u,skc11,skc10,skc6,skc11,skc6,skc10) ),
inference(res,[status(thm),theory(equality)],[3,90]),
[iquote('0:Res:3.0,90.0')] ).
cnf(187,plain,
( ~ eqangle(skc11,u,skc11,skc10,skc6,skc11,skc6,skc10)
| perp(skc7,skc11,skc11,u) ),
inference(res,[status(thm),theory(equality)],[3,89]),
[iquote('0:Res:3.0,89.0')] ).
cnf(196,plain,
( ~ eqangle(skc8,skc6,skc6,skc11,u,v,w,x)
| eqangle(skc8,skc6,skc6,skc10,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[5,113]),
[iquote('0:Res:5.0,113.0')] ).
cnf(199,plain,
eqangle(skc6,skc8,skc6,skc10,skc8,skc6,skc6,skc11),
inference(res,[status(thm),theory(equality)],[5,52]),
[iquote('0:Res:5.0,52.0')] ).
cnf(200,plain,
eqangle(skc6,skc10,skc8,skc6,skc6,skc11,skc8,skc6),
inference(res,[status(thm),theory(equality)],[5,53]),
[iquote('0:Res:5.0,53.0')] ).
cnf(201,plain,
eqangle(skc8,skc6,skc6,skc11,skc8,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[5,54]),
[iquote('0:Res:5.0,54.0')] ).
cnf(209,plain,
( ~ eqangle(u,v,w,x,skc8,skc6,skc6,skc7)
| ~ eqangle(skc9,skc6,skc6,skc8,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[113,10]),
[iquote('0:Res:113.2,10.0')] ).
cnf(216,plain,
coll(skc10,skc10,skc8),
inference(res,[status(thm),theory(equality)],[1,148]),
[iquote('0:Res:1.0,148.0')] ).
cnf(235,plain,
coll(skc10,skc10,skc9),
inference(res,[status(thm),theory(equality)],[2,125]),
[iquote('0:Res:2.0,125.0')] ).
cnf(259,plain,
coll(skc10,skc8,skc11),
inference(res,[status(thm),theory(equality)],[145,7]),
[iquote('0:Res:145.0,7.0')] ).
cnf(269,plain,
coll(skc11,skc10,skc8),
inference(res,[status(thm),theory(equality)],[146,6]),
[iquote('0:Res:146.0,6.0')] ).
cnf(273,plain,
coll(skc10,skc8,skc10),
inference(res,[status(thm),theory(equality)],[216,6]),
[iquote('0:Res:216.0,6.0')] ).
cnf(277,plain,
coll(skc10,skc11,skc8),
inference(res,[status(thm),theory(equality)],[259,6]),
[iquote('0:Res:259.0,6.0')] ).
cnf(343,plain,
perp(skc10,skc11,skc9,skc6),
inference(res,[status(thm),theory(equality)],[175,16]),
[iquote('0:Res:175.0,16.0')] ).
cnf(359,plain,
perp(skc10,skc11,skc6,skc9),
inference(res,[status(thm),theory(equality)],[343,15]),
[iquote('0:Res:343.0,15.0')] ).
cnf(363,plain,
perp(skc6,skc9,skc10,skc11),
inference(res,[status(thm),theory(equality)],[359,16]),
[iquote('0:Res:359.0,16.0')] ).
cnf(389,plain,
( ~ coll(skc8,skc10,u)
| coll(u,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[145,24]),
[iquote('0:Res:145.0,24.0')] ).
cnf(392,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[235,24]),
[iquote('0:Res:235.0,24.0')] ).
cnf(393,plain,
( ~ coll(skc11,skc10,u)
| coll(u,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[269,24]),
[iquote('0:Res:269.0,24.0')] ).
cnf(401,plain,
( ~ coll(skc10,skc8,u)
| coll(u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[273,24]),
[iquote('0:Res:273.0,24.0')] ).
cnf(403,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[277,24]),
[iquote('0:Res:277.0,24.0')] ).
cnf(427,plain,
coll(skc11,skc11,skc8),
inference(res,[status(thm),theory(equality)],[145,389]),
[iquote('0:Res:145.0,389.0')] ).
cnf(430,plain,
coll(skc11,skc8,skc11),
inference(res,[status(thm),theory(equality)],[427,6]),
[iquote('0:Res:427.0,6.0')] ).
cnf(432,plain,
( ~ coll(skc11,skc8,u)
| coll(u,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[430,24]),
[iquote('0:Res:430.0,24.0')] ).
cnf(536,plain,
coll(skc9,skc9,skc10),
inference(res,[status(thm),theory(equality)],[235,392]),
[iquote('0:Res:235.0,392.0')] ).
cnf(541,plain,
coll(skc9,skc10,skc9),
inference(res,[status(thm),theory(equality)],[536,6]),
[iquote('0:Res:536.0,6.0')] ).
cnf(544,plain,
( ~ coll(skc9,skc10,u)
| coll(u,skc9,skc9) ),
inference(res,[status(thm),theory(equality)],[541,24]),
[iquote('0:Res:541.0,24.0')] ).
cnf(595,plain,
coll(skc10,skc10,skc10),
inference(res,[status(thm),theory(equality)],[273,401]),
[iquote('0:Res:273.0,401.0')] ).
cnf(617,plain,
para(skc6,skc10,skc6,skc11),
inference(res,[status(thm),theory(equality)],[200,31]),
[iquote('0:Res:200.0,31.0')] ).
cnf(618,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[35,31]),
[iquote('0:Res:35.1,31.0')] ).
cnf(620,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[33,31]),
[iquote('0:Res:33.1,31.0')] ).
cnf(621,plain,
coll(skc6,skc10,skc11),
inference(res,[status(thm),theory(equality)],[617,11]),
[iquote('0:Res:617.0,11.0')] ).
cnf(622,plain,
para(skc6,skc10,skc11,skc6),
inference(res,[status(thm),theory(equality)],[617,13]),
[iquote('0:Res:617.0,13.0')] ).
cnf(623,plain,
para(skc6,skc11,skc6,skc10),
inference(res,[status(thm),theory(equality)],[617,14]),
[iquote('0:Res:617.0,14.0')] ).
cnf(625,plain,
coll(skc6,skc11,skc10),
inference(res,[status(thm),theory(equality)],[621,6]),
[iquote('0:Res:621.0,6.0')] ).
cnf(626,plain,
coll(skc10,skc6,skc11),
inference(res,[status(thm),theory(equality)],[621,7]),
[iquote('0:Res:621.0,7.0')] ).
cnf(629,plain,
coll(skc11,skc6,skc10),
inference(res,[status(thm),theory(equality)],[625,7]),
[iquote('0:Res:625.0,7.0')] ).
cnf(631,plain,
coll(skc10,skc11,skc6),
inference(res,[status(thm),theory(equality)],[626,6]),
[iquote('0:Res:626.0,6.0')] ).
cnf(634,plain,
( ~ midp(skc6,skc10,skc11)
| cong(skc9,skc10,skc9,skc11) ),
inference(res,[status(thm),theory(equality)],[175,40]),
[iquote('0:Res:175.0,40.1')] ).
cnf(652,plain,
( ~ midp(skc9,skc10,skc11)
| cong(skc6,skc10,skc6,skc11) ),
inference(res,[status(thm),theory(equality)],[363,40]),
[iquote('0:Res:363.0,40.1')] ).
cnf(655,plain,
coll(skc11,skc10,skc6),
inference(res,[status(thm),theory(equality)],[629,6]),
[iquote('0:Res:629.0,6.0')] ).
cnf(657,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc6,skc10) ),
inference(res,[status(thm),theory(equality)],[631,24]),
[iquote('0:Res:631.0,24.0')] ).
cnf(660,plain,
coll(skc6,skc8,skc10),
inference(res,[status(thm),theory(equality)],[631,403]),
[iquote('0:Res:631.0,403.0')] ).
cnf(665,plain,
coll(skc6,skc8,skc11),
inference(res,[status(thm),theory(equality)],[655,393]),
[iquote('0:Res:655.0,393.0')] ).
cnf(667,plain,
coll(skc6,skc10,skc8),
inference(res,[status(thm),theory(equality)],[660,6]),
[iquote('0:Res:660.0,6.0')] ).
cnf(668,plain,
coll(skc8,skc6,skc10),
inference(res,[status(thm),theory(equality)],[660,7]),
[iquote('0:Res:660.0,7.0')] ).
cnf(674,plain,
coll(skc6,skc11,skc8),
inference(res,[status(thm),theory(equality)],[665,6]),
[iquote('0:Res:665.0,6.0')] ).
cnf(678,plain,
coll(skc10,skc6,skc8),
inference(res,[status(thm),theory(equality)],[667,7]),
[iquote('0:Res:667.0,7.0')] ).
cnf(680,plain,
coll(skc8,skc10,skc6),
inference(res,[status(thm),theory(equality)],[668,6]),
[iquote('0:Res:668.0,6.0')] ).
cnf(693,plain,
coll(skc11,skc6,skc8),
inference(res,[status(thm),theory(equality)],[674,7]),
[iquote('0:Res:674.0,7.0')] ).
cnf(697,plain,
( ~ midp(u,v,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
inference(res,[status(thm),theory(equality)],[12,44]),
[iquote('0:Res:12.1,44.0')] ).
cnf(707,plain,
coll(skc10,skc8,skc6),
inference(res,[status(thm),theory(equality)],[678,6]),
[iquote('0:Res:678.0,6.0')] ).
cnf(732,plain,
coll(skc11,skc8,skc6),
inference(res,[status(thm),theory(equality)],[693,6]),
[iquote('0:Res:693.0,6.0')] ).
cnf(763,plain,
( ~ midp(u,v,w)
| ~ cong(x,y,u,v)
| cong(x,y,u,w) ),
inference(res,[status(thm),theory(equality)],[12,46]),
[iquote('0:Res:12.1,46.0')] ).
cnf(803,plain,
para(skc11,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[622,14]),
[iquote('0:Res:622.0,14.0')] ).
cnf(806,plain,
para(skc6,skc11,skc10,skc6),
inference(res,[status(thm),theory(equality)],[623,13]),
[iquote('0:Res:623.0,13.0')] ).
cnf(829,plain,
para(skc11,skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[803,13]),
[iquote('0:Res:803.0,13.0')] ).
cnf(833,plain,
para(skc10,skc6,skc6,skc11),
inference(res,[status(thm),theory(equality)],[806,14]),
[iquote('0:Res:806.0,14.0')] ).
cnf(836,plain,
para(skc10,skc6,skc11,skc6),
inference(res,[status(thm),theory(equality)],[829,14]),
[iquote('0:Res:829.0,14.0')] ).
cnf(844,plain,
( ~ para(u,v,skc11,skc10)
| perp(u,v,skc9,skc6) ),
inference(res,[status(thm),theory(equality)],[176,43]),
[iquote('0:Res:176.0,43.0')] ).
cnf(893,plain,
coll(skc11,skc11,skc11),
inference(res,[status(thm),theory(equality)],[430,432]),
[iquote('0:Res:430.0,432.0')] ).
cnf(896,plain,
coll(skc6,skc11,skc11),
inference(res,[status(thm),theory(equality)],[732,432]),
[iquote('0:Res:732.0,432.0')] ).
cnf(906,plain,
coll(skc11,skc6,skc11),
inference(res,[status(thm),theory(equality)],[896,7]),
[iquote('0:Res:896.0,7.0')] ).
cnf(908,plain,
coll(skc11,skc11,skc6),
inference(res,[status(thm),theory(equality)],[906,6]),
[iquote('0:Res:906.0,6.0')] ).
cnf(1099,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,60]),
[iquote('0:Res:32.1,60.0')] ).
cnf(1179,plain,
eqangle(skc6,skc10,skc6,skc11,skc8,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[200,55]),
[iquote('0:Res:200.0,55.0')] ).
cnf(1180,plain,
eqangle(skc6,skc8,skc8,skc6,skc6,skc10,skc6,skc11),
inference(res,[status(thm),theory(equality)],[199,55]),
[iquote('0:Res:199.0,55.0')] ).
cnf(1182,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,55]),
[iquote('0:Res:32.1,55.0')] ).
cnf(1198,plain,
eqangle(skc6,skc10,skc6,skc11,skc6,skc8,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1180,54]),
[iquote('0:Res:1180.0,54.0')] ).
cnf(1199,plain,
eqangle(skc8,skc6,skc6,skc11,skc6,skc8,skc6,skc10),
inference(res,[status(thm),theory(equality)],[199,54]),
[iquote('0:Res:199.0,54.0')] ).
cnf(1204,plain,
( ~ cyclic(u,v,w,x)
| eqangle(x,u,x,v,w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(1225,plain,
eqangle(skc6,skc11,skc6,skc10,skc8,skc6,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1198,53]),
[iquote('0:Res:1198.0,53.0')] ).
cnf(1226,plain,
( ~ cong(u,v,u,w)
| eqangle(v,w,u,v,u,w,v,w) ),
inference(res,[status(thm),theory(equality)],[35,53]),
[iquote('0:Res:35.1,53.0')] ).
cnf(1227,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,53]),
[iquote('0:Res:32.1,53.0')] ).
cnf(1244,plain,
eqangle(skc6,skc8,skc6,skc11,skc8,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[201,52]),
[iquote('0:Res:201.0,52.0')] ).
cnf(1246,plain,
eqangle(skc6,skc8,skc6,skc11,skc6,skc8,skc6,skc10),
inference(res,[status(thm),theory(equality)],[1199,52]),
[iquote('0:Res:1199.0,52.0')] ).
cnf(1248,plain,
eqangle(skc10,skc6,skc8,skc6,skc6,skc11,skc8,skc6),
inference(res,[status(thm),theory(equality)],[200,52]),
[iquote('0:Res:200.0,52.0')] ).
cnf(1253,plain,
eqangle(skc11,skc6,skc6,skc10,skc8,skc6,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1225,52]),
[iquote('0:Res:1225.0,52.0')] ).
cnf(1254,plain,
eqangle(skc10,skc6,skc6,skc11,skc8,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1179,52]),
[iquote('0:Res:1179.0,52.0')] ).
cnf(1259,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[32,52]),
[iquote('0:Res:32.1,52.0')] ).
cnf(1271,plain,
eqangle(skc6,skc11,skc6,skc8,skc6,skc10,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1246,53]),
[iquote('0:Res:1246.0,53.0')] ).
cnf(1288,plain,
eqangle(skc8,skc6,skc10,skc6,skc8,skc6,skc6,skc11),
inference(res,[status(thm),theory(equality)],[1248,53]),
[iquote('0:Res:1248.0,53.0')] ).
cnf(1302,plain,
eqangle(skc8,skc6,skc6,skc8,skc11,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[1253,54]),
[iquote('0:Res:1253.0,54.0')] ).
cnf(1308,plain,
eqangle(skc6,skc11,skc10,skc6,skc8,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1254,53]),
[iquote('0:Res:1254.0,53.0')] ).
cnf(1309,plain,
eqangle(skc8,skc6,skc8,skc6,skc10,skc6,skc6,skc11),
inference(res,[status(thm),theory(equality)],[1254,54]),
[iquote('0:Res:1254.0,54.0')] ).
cnf(1598,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,77]),
[iquote('0:Res:32.1,77.1')] ).
cnf(1605,plain,
eqangle(skc6,skc10,skc6,skc8,skc6,skc11,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1271,54]),
[iquote('0:Res:1271.0,54.0')] ).
cnf(1622,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(v,y,y,w,x,v,x,u) ),
inference(res,[status(thm),theory(equality)],[75,52]),
[iquote('0:Res:75.2,52.0')] ).
cnf(1629,plain,
eqangle(skc8,skc6,skc6,skc11,skc8,skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[1288,54]),
[iquote('0:Res:1288.0,54.0')] ).
cnf(1662,plain,
eqangle(skc6,skc8,skc6,skc8,skc11,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[1302,52]),
[iquote('0:Res:1302.0,52.0')] ).
cnf(1668,plain,
( ~ midp(u,skc6,skc6)
| ~ para(skc6,skc10,skc6,skc11)
| midp(u,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[623,86]),
[iquote('0:Res:623.0,86.1')] ).
cnf(1675,plain,
( ~ midp(u,skc6,skc6)
| midp(u,skc10,skc11) ),
inference(mrr,[status(thm)],[1668,617]),
[iquote('0:MRR:1668.1,617.0')] ).
cnf(1678,plain,
eqangle(skc11,skc6,skc10,skc6,skc8,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1308,52]),
[iquote('0:Res:1308.0,52.0')] ).
cnf(1751,plain,
eqangle(skc10,skc6,skc6,skc8,skc6,skc11,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1605,52]),
[iquote('0:Res:1605.0,52.0')] ).
cnf(1903,plain,
eqangle(skc6,skc8,skc10,skc6,skc6,skc8,skc6,skc11),
inference(res,[status(thm),theory(equality)],[1751,53]),
[iquote('0:Res:1751.0,53.0')] ).
cnf(1916,plain,
( ~ para(skc10,skc6,skc6,skc11)
| para(skc8,skc6,skc8,skc6) ),
inference(res,[status(thm),theory(equality)],[1309,85]),
[iquote('0:Res:1309.0,85.1')] ).
cnf(1988,plain,
( ~ para(skc11,skc6,skc6,skc10)
| para(skc6,skc8,skc6,skc8) ),
inference(res,[status(thm),theory(equality)],[1662,85]),
[iquote('0:Res:1662.0,85.1')] ).
cnf(2002,plain,
( ~ cong(u,v,u,w)
| ~ para(v,w,u,w)
| para(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[35,85]),
[iquote('0:Res:35.1,85.1')] ).
cnf(2006,plain,
( ~ cyclic(u,v,w,x)
| ~ para(x,u,x,v)
| para(w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[33,85]),
[iquote('0:Res:33.1,85.1')] ).
cnf(2008,plain,
para(skc8,skc6,skc8,skc6),
inference(mrr,[status(thm)],[1916,833]),
[iquote('0:MRR:1916.0,833.0')] ).
cnf(2011,plain,
para(skc6,skc8,skc6,skc8),
inference(mrr,[status(thm)],[1988,803]),
[iquote('0:MRR:1988.0,803.0')] ).
cnf(2012,plain,
coll(skc8,skc6,skc6),
inference(res,[status(thm),theory(equality)],[2008,11]),
[iquote('0:Res:2008.0,11.0')] ).
cnf(2021,plain,
coll(skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[2012,7]),
[iquote('0:Res:2012.0,7.0')] ).
cnf(2022,plain,
( ~ coll(skc6,skc8,u)
| coll(u,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[2021,24]),
[iquote('0:Res:2021.0,24.0')] ).
cnf(2029,plain,
( ~ perp(skc8,skc6,skc6,skc11)
| perp(skc8,skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[1288,84]),
[iquote('0:Res:1288.0,84.1')] ).
cnf(2034,plain,
( ~ perp(skc8,skc6,skc6,skc10)
| perp(skc8,skc6,skc6,skc11) ),
inference(res,[status(thm),theory(equality)],[201,84]),
[iquote('0:Res:201.0,84.1')] ).
cnf(2057,plain,
( ~ perp(skc8,skc6,skc8,skc6)
| perp(skc11,skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[1678,84]),
[iquote('0:Res:1678.0,84.1')] ).
cnf(2096,plain,
( ~ perp(skc8,skc6,skc6,skc10)
| perp(skc6,skc8,skc6,skc11) ),
inference(res,[status(thm),theory(equality)],[1244,84]),
[iquote('0:Res:1244.0,84.1')] ).
cnf(2116,plain,
( ~ cong(u,v,u,w)
| ~ perp(v,w,u,w)
| perp(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[35,84]),
[iquote('0:Res:35.1,84.1')] ).
cnf(2119,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| ~ perp(w,x,w,v)
| perp(u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[88,84]),
[iquote('0:Res:88.2,84.1')] ).
cnf(2120,plain,
( ~ cyclic(u,v,w,x)
| ~ perp(x,u,x,v)
| perp(w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[33,84]),
[iquote('0:Res:33.1,84.1')] ).
cnf(2307,plain,
( ~ perp(skc6,skc8,skc6,skc11)
| perp(skc6,skc8,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[1903,84]),
[iquote('0:Res:1903.0,84.1')] ).
cnf(2540,plain,
coll(skc9,skc9,skc9),
inference(res,[status(thm),theory(equality)],[541,544]),
[iquote('0:Res:541.0,544.0')] ).
cnf(2664,plain,
coll(skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[631,657]),
[iquote('0:Res:631.0,657.0')] ).
cnf(2666,plain,
coll(skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[2664,6]),
[iquote('0:Res:2664.0,6.0')] ).
cnf(2909,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,y,w)
| eqangle(z,x1,x2,x3,x,v,x,u) ),
inference(res,[status(thm),theory(equality)],[75,113]),
[iquote('0:Res:75.2,113.0')] ).
cnf(3117,plain,
( ~ cong(u,u,u,v)
| ~ cyclic(u,v,u,v)
| ~ cyclic(u,v,u,v)
| ~ cyclic(u,v,u,u)
| cong(u,v,v,v) ),
inference(res,[status(thm),theory(equality)],[35,119]),
[iquote('0:Res:35.1,119.3')] ).
cnf(3118,plain,
( ~ para(u,v,u,w)
| ~ cyclic(v,x,u,w)
| ~ cyclic(v,x,u,x)
| ~ cyclic(v,x,u,u)
| cong(v,x,w,x) ),
inference(res,[status(thm),theory(equality)],[32,119]),
[iquote('0:Res:32.1,119.3')] ).
cnf(3120,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| ~ cyclic(w,w,u,w)
| ~ cyclic(w,w,u,v)
| ~ cyclic(w,w,u,u)
| cong(w,w,w,v) ),
inference(res,[status(thm),theory(equality)],[88,119]),
[iquote('0:Res:88.2,119.3')] ).
cnf(3121,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[33,119]),
[iquote('0:Res:33.1,119.3')] ).
cnf(3127,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[3121]),
[iquote('0:Obv:3121.0')] ).
cnf(3128,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3127]),
[iquote('0:Con:3127.2')] ).
cnf(3129,plain,
( ~ cong(u,u,u,v)
| ~ cyclic(u,v,u,v)
| ~ cyclic(u,v,u,u)
| cong(u,v,v,v) ),
inference(obv,[status(thm),theory(equality)],[3117]),
[iquote('0:Obv:3117.1')] ).
cnf(3218,plain,
( ~ circle(skc9,skc11,u,skc10)
| perp(u,skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[124,16]),
[iquote('0:Res:124.1,16.0')] ).
cnf(3253,plain,
( ~ perp(skc11,skc10,u,v)
| para(skc9,skc6,v,u) ),
inference(res,[status(thm),theory(equality)],[174,13]),
[iquote('0:Res:174.1,13.0')] ).
cnf(3276,plain,
( ~ perp(u,v,skc9,skc6)
| para(skc11,skc10,u,v) ),
inference(res,[status(thm),theory(equality)],[181,14]),
[iquote('0:Res:181.1,14.0')] ).
cnf(3287,plain,
( ~ midp(u,skc6,skc6)
| ~ midp(v,skc10,w)
| para(v,u,w,skc11) ),
inference(res,[status(thm),theory(equality)],[1675,34]),
[iquote('0:Res:1675.1,34.0')] ).
cnf(3307,plain,
coll(skc6,skc6,skc6),
inference(res,[status(thm),theory(equality)],[2021,2022]),
[iquote('0:Res:2021.0,2022.0')] ).
cnf(3311,plain,
( ~ midp(u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12,618]),
[iquote('0:Res:12.1,618.0')] ).
cnf(3488,plain,
( ~ midp(skc6,skc10,skc11)
| ~ coll(skc9,skc10,skc11)
| midp(skc9,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[634,37]),
[iquote('0:Res:634.1,37.1')] ).
cnf(3490,plain,
( ~ midp(skc6,skc10,skc11)
| cong(skc9,skc10,skc11,skc9) ),
inference(res,[status(thm),theory(equality)],[634,20]),
[iquote('0:Res:634.1,20.0')] ).
cnf(3491,plain,
( ~ midp(skc6,skc10,skc11)
| cong(skc9,skc11,skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[634,21]),
[iquote('0:Res:634.1,21.0')] ).
cnf(3492,plain,
( ~ midp(skc6,skc10,skc11)
| midp(skc9,skc10,skc11) ),
inference(mrr,[status(thm)],[3488,122]),
[iquote('0:MRR:3488.1,122.0')] ).
cnf(3716,plain,
( ~ midp(skc9,skc10,skc11)
| ~ coll(skc6,skc10,skc11)
| midp(skc6,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[652,37]),
[iquote('0:Res:652.1,37.1')] ).
cnf(3718,plain,
( ~ midp(skc9,skc10,skc11)
| cong(skc6,skc10,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[652,20]),
[iquote('0:Res:652.1,20.0')] ).
cnf(3720,plain,
( ~ midp(skc9,skc10,skc11)
| midp(skc6,skc10,skc11) ),
inference(mrr,[status(thm)],[3716,621]),
[iquote('0:MRR:3716.1,621.0')] ).
cnf(3721,plain,
( ~ midp(skc9,skc6,skc6)
| midp(skc6,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[1675,3720]),
[iquote('0:Res:1675.1,3720.0')] ).
cnf(4017,plain,
( ~ midp(skc9,skc10,skc11)
| cong(skc11,skc6,skc6,skc10) ),
inference(res,[status(thm),theory(equality)],[3718,21]),
[iquote('0:Res:3718.1,21.0')] ).
cnf(4050,plain,
( ~ perp(skc7,skc11,skc11,skc11)
| ~ coll(skc11,skc6,skc10)
| cyclic(skc11,skc10,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[186,77]),
[iquote('0:Res:186.1,77.1')] ).
cnf(4053,plain,
( ~ perp(skc7,skc11,skc11,u)
| ~ para(skc6,skc11,skc6,skc10)
| para(skc11,u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[186,85]),
[iquote('0:Res:186.1,85.1')] ).
cnf(4056,plain,
( ~ perp(skc7,skc11,skc11,skc11)
| cyclic(skc11,skc10,skc11,skc6) ),
inference(mrr,[status(thm)],[4050,629]),
[iquote('0:MRR:4050.1,629.0')] ).
cnf(4057,plain,
( ~ perp(skc7,skc11,skc11,u)
| para(skc11,u,skc11,skc10) ),
inference(mrr,[status(thm)],[4053,623]),
[iquote('0:MRR:4053.1,623.0')] ).
cnf(4071,plain,
( ~ cyclic(skc11,skc10,skc11,skc6)
| perp(skc7,skc11,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[33,187]),
[iquote('0:Res:33.1,187.0')] ).
cnf(4098,plain,
( ~ midp(skc9,skc10,skc11)
| cong(skc11,skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[4017,20]),
[iquote('0:Res:4017.1,20.0')] ).
cnf(4195,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1182,60]),
[iquote('0:Res:1182.1,60.0')] ).
cnf(4206,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1182,77]),
[iquote('0:Res:1182.1,77.1')] ).
cnf(4220,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4206,4195]),
[iquote('0:MRR:4206.1,4195.1')] ).
cnf(4241,plain,
( ~ midp(u,u,v)
| para(u,v,u,u) ),
inference(res,[status(thm),theory(equality)],[3311,14]),
[iquote('0:Res:3311.1,14.0')] ).
cnf(4249,plain,
( ~ midp(u,u,v)
| ~ midp(w,u,u)
| ~ para(u,v,u,u)
| midp(w,v,u) ),
inference(res,[status(thm),theory(equality)],[3311,86]),
[iquote('0:Res:3311.1,86.1')] ).
cnf(4253,plain,
( ~ midp(u,u,v)
| ~ midp(w,u,u)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[4249,4241]),
[iquote('0:MRR:4249.2,4241.1')] ).
cnf(4556,plain,
( ~ cong(u,u,u,v)
| ~ coll(v,v,u)
| ~ circle(u,u,v,u)
| midp(v,v,u) ),
inference(res,[status(thm),theory(equality)],[1226,105]),
[iquote('0:Res:1226.1,105.2')] ).
cnf(4603,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1227,31]),
[iquote('0:Res:1227.1,31.0')] ).
cnf(4942,plain,
( ~ midp(u,v,w)
| ~ midp(u,v,x)
| circle(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12,697]),
[iquote('0:Res:12.1,697.1')] ).
cnf(5085,plain,
( ~ perp(skc11,skc10,skc9,skc6)
| ~ coll(skc11,skc11,u)
| cyclic(skc10,u,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[181,1598]),
[iquote('0:Res:181.1,1598.0')] ).
cnf(5092,plain,
( ~ perp(skc11,skc10,skc9,skc6)
| ~ coll(skc9,skc9,u)
| cyclic(skc6,u,skc9,skc9) ),
inference(res,[status(thm),theory(equality)],[174,1598]),
[iquote('0:Res:174.1,1598.0')] ).
cnf(5097,plain,
( ~ coll(skc11,skc11,u)
| cyclic(skc10,u,skc11,skc11) ),
inference(mrr,[status(thm)],[5085,176]),
[iquote('0:MRR:5085.0,176.0')] ).
cnf(5098,plain,
( ~ coll(skc9,skc9,u)
| cyclic(skc6,u,skc9,skc9) ),
inference(mrr,[status(thm)],[5092,176]),
[iquote('0:MRR:5092.0,176.0')] ).
cnf(5116,plain,
( ~ coll(skc11,skc11,u)
| cyclic(skc10,skc11,u,skc11) ),
inference(res,[status(thm),theory(equality)],[5097,18]),
[iquote('0:Res:5097.1,18.0')] ).
cnf(5117,plain,
( ~ coll(skc11,skc11,u)
| cyclic(u,skc10,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[5097,19]),
[iquote('0:Res:5097.1,19.0')] ).
cnf(5118,plain,
( ~ coll(skc11,skc11,u)
| para(skc11,skc10,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[5097,620]),
[iquote('0:Res:5097.1,620.0')] ).
cnf(5120,plain,
para(skc11,skc10,skc11,skc10),
inference(res,[status(thm),theory(equality)],[427,5118]),
[iquote('0:Res:427.0,5118.0')] ).
cnf(5128,plain,
para(skc11,skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[5120,13]),
[iquote('0:Res:5120.0,13.0')] ).
cnf(5142,plain,
para(skc10,skc11,skc11,skc10),
inference(res,[status(thm),theory(equality)],[5128,14]),
[iquote('0:Res:5128.0,14.0')] ).
cnf(5154,plain,
para(skc10,skc11,skc10,skc11),
inference(res,[status(thm),theory(equality)],[5142,13]),
[iquote('0:Res:5142.0,13.0')] ).
cnf(5170,plain,
( ~ coll(skc10,skc10,u)
| cyclic(skc11,u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[5154,1598]),
[iquote('0:Res:5154.0,1598.0')] ).
cnf(5203,plain,
( ~ coll(skc9,skc9,u)
| cyclic(u,skc6,skc9,skc9) ),
inference(res,[status(thm),theory(equality)],[5098,19]),
[iquote('0:Res:5098.1,19.0')] ).
cnf(5204,plain,
( ~ coll(skc9,skc9,u)
| para(skc9,skc6,skc9,skc6) ),
inference(res,[status(thm),theory(equality)],[5098,620]),
[iquote('0:Res:5098.1,620.0')] ).
cnf(5215,plain,
para(skc9,skc6,skc9,skc6),
inference(res,[status(thm),theory(equality)],[536,5204]),
[iquote('0:Res:536.0,5204.0')] ).
cnf(5223,plain,
para(skc9,skc6,skc6,skc9),
inference(res,[status(thm),theory(equality)],[5215,13]),
[iquote('0:Res:5215.0,13.0')] ).
cnf(5233,plain,
( ~ midp(u,skc9,skc9)
| ~ para(skc9,skc6,skc9,skc6)
| midp(u,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[5215,86]),
[iquote('0:Res:5215.0,86.1')] ).
cnf(5235,plain,
( ~ midp(u,skc9,skc9)
| midp(u,skc6,skc6) ),
inference(mrr,[status(thm)],[5233,5215]),
[iquote('0:MRR:5233.1,5215.0')] ).
cnf(5238,plain,
para(skc6,skc9,skc9,skc6),
inference(res,[status(thm),theory(equality)],[5223,14]),
[iquote('0:Res:5223.0,14.0')] ).
cnf(5250,plain,
para(skc6,skc9,skc6,skc9),
inference(res,[status(thm),theory(equality)],[5238,13]),
[iquote('0:Res:5238.0,13.0')] ).
cnf(5362,plain,
( ~ coll(skc11,skc11,u)
| cyclic(skc10,skc11,skc11,u) ),
inference(res,[status(thm),theory(equality)],[5116,17]),
[iquote('0:Res:5116.1,17.0')] ).
cnf(5375,plain,
( ~ coll(skc11,skc11,u)
| para(skc11,u,skc11,u) ),
inference(res,[status(thm),theory(equality)],[5117,620]),
[iquote('0:Res:5117.1,620.0')] ).
cnf(5407,plain,
( ~ coll(skc10,skc10,u)
| cyclic(u,skc11,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[5170,19]),
[iquote('0:Res:5170.1,19.0')] ).
cnf(5423,plain,
( ~ coll(skc9,skc9,u)
| cyclic(u,skc9,skc6,skc9) ),
inference(res,[status(thm),theory(equality)],[5203,18]),
[iquote('0:Res:5203.1,18.0')] ).
cnf(5527,plain,
( ~ coll(skc11,skc11,u)
| cyclic(skc11,skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[5362,19]),
[iquote('0:Res:5362.1,19.0')] ).
cnf(5569,plain,
( ~ coll(skc10,skc10,u)
| para(skc10,u,skc10,u) ),
inference(res,[status(thm),theory(equality)],[5407,620]),
[iquote('0:Res:5407.1,620.0')] ).
cnf(5602,plain,
( ~ coll(skc9,skc9,skc9)
| ~ cyclic(skc9,skc9,skc6,skc9)
| cong(skc9,skc9,skc9,skc9) ),
inference(res,[status(thm),theory(equality)],[5423,3128]),
[iquote('0:Res:5423.1,3128.0')] ).
cnf(5603,plain,
( ~ cyclic(skc9,skc9,skc6,skc9)
| cong(skc9,skc9,skc9,skc9) ),
inference(mrr,[status(thm)],[5602,2540]),
[iquote('0:MRR:5602.0,2540.0')] ).
cnf(6177,plain,
( ~ cyclic(skc10,skc6,skc7,skc11)
| ~ coll(skc6,skc10,skc6)
| midp(skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[1204,185]),
[iquote('0:Res:1204.1,185.1')] ).
cnf(6181,plain,
( ~ cyclic(skc10,skc6,skc7,skc11)
| midp(skc6,skc10,skc6) ),
inference(mrr,[status(thm)],[6177,2666]),
[iquote('0:MRR:6177.1,2666.0')] ).
cnf(6182,plain,
eqangle(skc8,skc6,skc6,skc10,skc8,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[201,196]),
[iquote('0:Res:201.0,196.0')] ).
cnf(6184,plain,
eqangle(skc8,skc6,skc6,skc10,skc8,skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[1629,196]),
[iquote('0:Res:1629.0,196.0')] ).
cnf(6199,plain,
eqangle(skc6,skc10,skc8,skc6,skc6,skc10,skc8,skc6),
inference(res,[status(thm),theory(equality)],[6182,53]),
[iquote('0:Res:6182.0,53.0')] ).
cnf(6214,plain,
eqangle(skc6,skc10,skc8,skc6,skc10,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[6184,53]),
[iquote('0:Res:6184.0,53.0')] ).
cnf(6216,plain,
eqangle(skc8,skc6,skc8,skc6,skc6,skc10,skc10,skc6),
inference(res,[status(thm),theory(equality)],[6184,55]),
[iquote('0:Res:6184.0,55.0')] ).
cnf(6246,plain,
para(skc6,skc10,skc6,skc10),
inference(res,[status(thm),theory(equality)],[6199,31]),
[iquote('0:Res:6199.0,31.0')] ).
cnf(6256,plain,
para(skc6,skc10,skc10,skc6),
inference(res,[status(thm),theory(equality)],[6246,13]),
[iquote('0:Res:6246.0,13.0')] ).
cnf(6270,plain,
para(skc10,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[6256,14]),
[iquote('0:Res:6256.0,14.0')] ).
cnf(6423,plain,
para(skc10,skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[6270,13]),
[iquote('0:Res:6270.0,13.0')] ).
cnf(6563,plain,
eqangle(skc10,skc6,skc8,skc6,skc10,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[6214,52]),
[iquote('0:Res:6214.0,52.0')] ).
cnf(6587,plain,
( ~ perp(skc6,skc10,skc10,skc6)
| perp(skc8,skc6,skc8,skc6) ),
inference(res,[status(thm),theory(equality)],[6216,84]),
[iquote('0:Res:6216.0,84.1')] ).
cnf(6726,plain,
eqangle(skc10,skc6,skc10,skc6,skc8,skc6,skc8,skc6),
inference(res,[status(thm),theory(equality)],[6563,55]),
[iquote('0:Res:6563.0,55.0')] ).
cnf(6915,plain,
( ~ coll(skc10,skc8,skc6)
| cyclic(skc6,skc6,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[6726,77]),
[iquote('0:Res:6726.0,77.1')] ).
cnf(6916,plain,
( ~ cyclic(skc6,skc6,skc10,skc6)
| ~ cyclic(skc6,skc6,skc10,skc6)
| ~ cyclic(skc6,skc6,skc10,skc8)
| cong(skc6,skc6,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[6726,119]),
[iquote('0:Res:6726.0,119.3')] ).
cnf(6920,plain,
cyclic(skc6,skc6,skc10,skc8),
inference(mrr,[status(thm)],[6915,707]),
[iquote('0:MRR:6915.0,707.0')] ).
cnf(6922,plain,
( ~ cyclic(skc6,skc6,skc10,skc6)
| ~ cyclic(skc6,skc6,skc10,skc8)
| cong(skc6,skc6,skc6,skc6) ),
inference(obv,[status(thm),theory(equality)],[6916]),
[iquote('0:Obv:6916.0')] ).
cnf(6923,plain,
( ~ cyclic(skc6,skc6,skc10,skc6)
| cong(skc6,skc6,skc6,skc6) ),
inference(mrr,[status(thm)],[6922,6920]),
[iquote('0:MRR:6922.1,6920.0')] ).
cnf(6928,plain,
cyclic(skc6,skc6,skc8,skc10),
inference(res,[status(thm),theory(equality)],[6920,17]),
[iquote('0:Res:6920.0,17.0')] ).
cnf(6936,plain,
( ~ cong(skc6,skc10,skc6,skc10)
| ~ cong(skc6,skc8,skc6,skc8)
| perp(skc8,skc6,skc6,skc10) ),
inference(res,[status(thm),theory(equality)],[6928,93]),
[iquote('0:Res:6928.0,93.0')] ).
cnf(6937,plain,
( ~ cyclic(skc6,skc6,skc8,u)
| cyclic(skc6,skc8,u,skc10) ),
inference(res,[status(thm),theory(equality)],[6928,45]),
[iquote('0:Res:6928.0,45.0')] ).
cnf(6939,plain,
cyclic(skc6,skc8,skc6,skc10),
inference(res,[status(thm),theory(equality)],[6928,18]),
[iquote('0:Res:6928.0,18.0')] ).
cnf(6961,plain,
cyclic(skc6,skc8,skc10,skc6),
inference(res,[status(thm),theory(equality)],[6939,17]),
[iquote('0:Res:6939.0,17.0')] ).
cnf(6990,plain,
( ~ cyclic(skc6,skc8,skc10,skc8)
| cong(skc6,skc8,skc6,skc8) ),
inference(res,[status(thm),theory(equality)],[6961,3128]),
[iquote('0:Res:6961.0,3128.0')] ).
cnf(7073,plain,
( ~ para(u,v,skc8,skc6)
| ~ eqangle(skc9,skc6,skc6,skc8,v,u,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[1259,209]),
[iquote('0:Res:1259.1,209.0')] ).
cnf(7896,plain,
( ~ coll(skc11,skc11,u)
| para(skc11,u,u,skc11) ),
inference(res,[status(thm),theory(equality)],[5375,13]),
[iquote('0:Res:5375.1,13.0')] ).
cnf(7975,plain,
( ~ coll(skc10,skc10,u)
| para(skc10,u,u,skc10) ),
inference(res,[status(thm),theory(equality)],[5569,13]),
[iquote('0:Res:5569.1,13.0')] ).
cnf(8088,plain,
( ~ coll(skc11,skc11,u)
| para(u,skc11,skc11,u) ),
inference(res,[status(thm),theory(equality)],[7896,14]),
[iquote('0:Res:7896.1,14.0')] ).
cnf(8166,plain,
( ~ coll(skc10,skc10,u)
| para(u,skc10,skc10,u) ),
inference(res,[status(thm),theory(equality)],[7975,14]),
[iquote('0:Res:7975.1,14.0')] ).
cnf(8532,plain,
( ~ perp(skc8,skc6,skc6,skc11)
| ~ midp(skc6,skc10,skc6)
| cong(skc8,skc10,skc8,skc6) ),
inference(res,[status(thm),theory(equality)],[2029,40]),
[iquote('0:Res:2029.1,40.1')] ).
cnf(9271,plain,
( ~ perp(skc8,skc6,skc8,skc6)
| ~ midp(skc6,skc10,skc6)
| cong(skc11,skc10,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[2057,40]),
[iquote('0:Res:2057.1,40.1')] ).
cnf(9978,plain,
( ~ cyclic(skc6,skc11,skc10,skc6)
| ~ perp(skc10,skc6,skc10,skc11)
| perp(skc6,skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[806,2119]),
[iquote('0:Res:806.0,2119.0')] ).
cnf(10273,plain,
( ~ perp(skc6,skc8,skc6,skc11)
| ~ midp(skc8,skc10,skc6)
| cong(skc6,skc10,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[2307,40]),
[iquote('0:Res:2307.1,40.1')] ).
cnf(10610,plain,
( ~ perp(skc7,skc11,skc11,skc11)
| ~ cong(skc11,skc6,skc10,skc6)
| ~ cong(skc11,skc11,skc10,skc11)
| perp(skc11,skc11,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[4056,93]),
[iquote('0:Res:4056.1,93.0')] ).
cnf(10612,plain,
( ~ perp(skc7,skc11,skc11,skc11)
| cyclic(skc11,skc10,skc6,skc11) ),
inference(res,[status(thm),theory(equality)],[4056,17]),
[iquote('0:Res:4056.1,17.0')] ).
cnf(10613,plain,
( ~ perp(skc7,skc11,skc11,skc11)
| cyclic(skc11,skc11,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[4056,18]),
[iquote('0:Res:4056.1,18.0')] ).
cnf(10627,plain,
( ~ coll(skc11,skc11,skc6)
| perp(skc7,skc11,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[5527,4071]),
[iquote('0:Res:5527.1,4071.0')] ).
cnf(10629,plain,
perp(skc7,skc11,skc11,skc11),
inference(mrr,[status(thm)],[10627,908]),
[iquote('0:MRR:10627.0,908.0')] ).
cnf(10630,plain,
cyclic(skc11,skc10,skc11,skc6),
inference(mrr,[status(thm)],[4056,10629]),
[iquote('0:MRR:4056.0,10629.0')] ).
cnf(10632,plain,
cyclic(skc11,skc10,skc6,skc11),
inference(mrr,[status(thm)],[10612,10629]),
[iquote('0:MRR:10612.0,10629.0')] ).
cnf(10633,plain,
cyclic(skc11,skc11,skc10,skc6),
inference(mrr,[status(thm)],[10613,10629]),
[iquote('0:MRR:10613.0,10629.0')] ).
cnf(10636,plain,
( ~ cong(skc11,skc6,skc10,skc6)
| ~ cong(skc11,skc11,skc10,skc11)
| perp(skc11,skc11,skc11,skc6) ),
inference(mrr,[status(thm)],[10610,10629]),
[iquote('0:MRR:10610.0,10629.0')] ).
cnf(10662,plain,
( ~ para(skc6,skc11,skc6,skc10)
| para(skc11,skc11,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[10630,2006]),
[iquote('0:Res:10630.0,2006.0')] ).
cnf(10669,plain,
para(skc11,skc11,skc11,skc10),
inference(mrr,[status(thm)],[10662,623]),
[iquote('0:MRR:10662.0,623.0')] ).
cnf(10675,plain,
( ~ cyclic(skc11,skc10,skc6,u)
| cyclic(skc10,skc6,u,skc11) ),
inference(res,[status(thm),theory(equality)],[10632,45]),
[iquote('0:Res:10632.0,45.0')] ).
cnf(10677,plain,
cyclic(skc11,skc6,skc10,skc11),
inference(res,[status(thm),theory(equality)],[10632,18]),
[iquote('0:Res:10632.0,18.0')] ).
cnf(10697,plain,
( ~ cyclic(skc11,skc11,skc10,u)
| cyclic(skc11,skc10,u,skc6) ),
inference(res,[status(thm),theory(equality)],[10633,45]),
[iquote('0:Res:10633.0,45.0')] ).
cnf(10771,plain,
cyclic(skc11,skc6,skc11,skc10),
inference(res,[status(thm),theory(equality)],[10677,17]),
[iquote('0:Res:10677.0,17.0')] ).
cnf(10773,plain,
cyclic(skc6,skc11,skc10,skc11),
inference(res,[status(thm),theory(equality)],[10677,19]),
[iquote('0:Res:10677.0,19.0')] ).
cnf(10869,plain,
( ~ para(skc10,skc11,skc10,skc6)
| para(skc11,skc11,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[10771,2006]),
[iquote('0:Res:10771.0,2006.0')] ).
cnf(10878,plain,
( ~ perp(skc11,skc6,skc11,skc11)
| perp(skc10,skc6,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[10773,2120]),
[iquote('0:Res:10773.0,2120.0')] ).
cnf(10883,plain,
cyclic(skc6,skc10,skc11,skc11),
inference(res,[status(thm),theory(equality)],[10773,18]),
[iquote('0:Res:10773.0,18.0')] ).
cnf(10964,plain,
para(skc11,skc6,skc11,skc6),
inference(res,[status(thm),theory(equality)],[10883,620]),
[iquote('0:Res:10883.0,620.0')] ).
cnf(10972,plain,
para(skc11,skc6,skc6,skc11),
inference(res,[status(thm),theory(equality)],[10964,13]),
[iquote('0:Res:10964.0,13.0')] ).
cnf(10991,plain,
para(skc6,skc11,skc11,skc6),
inference(res,[status(thm),theory(equality)],[10972,14]),
[iquote('0:Res:10972.0,14.0')] ).
cnf(11009,plain,
para(skc6,skc11,skc6,skc11),
inference(res,[status(thm),theory(equality)],[10991,13]),
[iquote('0:Res:10991.0,13.0')] ).
cnf(12811,plain,
( ~ cyclic(skc11,u,skc11,skc10)
| ~ cyclic(skc11,u,skc11,u)
| ~ cyclic(skc11,u,skc11,skc11)
| cong(skc11,u,skc10,u) ),
inference(res,[status(thm),theory(equality)],[10669,3118]),
[iquote('0:Res:10669.0,3118.0')] ).
cnf(13028,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ midp(z,v,u)
| ~ circle(x1,x,v,u)
| eqangle(v,y,y,w,x1,v,x1,z) ),
inference(res,[status(thm),theory(equality)],[1622,2909]),
[iquote('0:Res:1622.2,2909.2')] ).
cnf(13414,plain,
( ~ cyclic(skc11,skc11,skc11,skc10)
| ~ cyclic(skc10,skc10,skc11,skc10)
| ~ cyclic(skc10,skc10,skc11,skc11)
| ~ cyclic(skc10,skc10,skc11,skc11)
| cong(skc10,skc10,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[10669,3120]),
[iquote('0:Res:10669.0,3120.0')] ).
cnf(13425,plain,
( ~ cyclic(skc11,skc11,skc11,skc10)
| ~ cyclic(skc10,skc10,skc11,skc10)
| ~ cyclic(skc10,skc10,skc11,skc11)
| cong(skc10,skc10,skc10,skc11) ),
inference(obv,[status(thm),theory(equality)],[13414]),
[iquote('0:Obv:13414.2')] ).
cnf(14048,plain,
( ~ perp(skc7,skc11,skc11,u)
| para(skc11,skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[4057,14]),
[iquote('0:Res:4057.1,14.0')] ).
cnf(14058,plain,
( ~ perp(skc7,skc11,skc11,u)
| ~ midp(v,skc11,skc11)
| ~ para(skc11,skc10,skc11,u)
| midp(v,skc10,u) ),
inference(res,[status(thm),theory(equality)],[4057,86]),
[iquote('0:Res:4057.1,86.1')] ).
cnf(14073,plain,
( ~ perp(skc7,skc11,skc11,u)
| ~ midp(v,skc11,skc11)
| midp(v,skc10,u) ),
inference(mrr,[status(thm)],[14058,14048]),
[iquote('0:MRR:14058.2,14048.1')] ).
cnf(14218,plain,
( ~ circle(skc9,skc11,u,skc10)
| ~ perp(v,w,u,skc10)
| para(v,w,skc11,u) ),
inference(res,[status(thm),theory(equality)],[3218,42]),
[iquote('0:Res:3218.1,42.0')] ).
cnf(14373,plain,
perp(skc11,skc11,skc9,skc6),
inference(res,[status(thm),theory(equality)],[10669,844]),
[iquote('0:Res:10669.0,844.0')] ).
cnf(14381,plain,
( ~ para(u,v,skc11,skc11)
| perp(u,v,skc9,skc6) ),
inference(res,[status(thm),theory(equality)],[14373,43]),
[iquote('0:Res:14373.0,43.0')] ).
cnf(14424,plain,
( ~ perp(skc11,skc10,u,skc9)
| coll(skc9,skc6,u) ),
inference(res,[status(thm),theory(equality)],[3253,11]),
[iquote('0:Res:3253.1,11.0')] ).
cnf(14521,plain,
( ~ perp(u,v,skc9,skc6)
| ~ para(w,x,skc11,skc10)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[3276,41]),
[iquote('0:Res:3276.1,41.0')] ).
cnf(14716,plain,
cyclic(skc9,skc9,skc6,u),
inference(res,[status(thm),theory(equality)],[5250,4220]),
[iquote('0:Res:5250.0,4220.0')] ).
cnf(14719,plain,
cyclic(skc6,skc6,skc11,u),
inference(res,[status(thm),theory(equality)],[10964,4220]),
[iquote('0:Res:10964.0,4220.0')] ).
cnf(14720,plain,
cyclic(skc6,skc6,skc10,u),
inference(res,[status(thm),theory(equality)],[6423,4220]),
[iquote('0:Res:6423.0,4220.0')] ).
cnf(14721,plain,
cyclic(skc6,skc6,skc8,u),
inference(res,[status(thm),theory(equality)],[2008,4220]),
[iquote('0:Res:2008.0,4220.0')] ).
cnf(14731,plain,
( ~ coll(skc11,skc11,skc11)
| cyclic(skc11,skc11,skc11,u) ),
inference(res,[status(thm),theory(equality)],[8088,4220]),
[iquote('0:Res:8088.1,4220.0')] ).
cnf(14733,plain,
( ~ coll(skc10,skc10,skc10)
| cyclic(skc10,skc10,skc10,u) ),
inference(res,[status(thm),theory(equality)],[8166,4220]),
[iquote('0:Res:8166.1,4220.0')] ).
cnf(14740,plain,
cyclic(skc10,skc10,skc11,u),
inference(res,[status(thm),theory(equality)],[5120,4220]),
[iquote('0:Res:5120.0,4220.0')] ).
cnf(14742,plain,
cyclic(skc11,skc11,skc10,u),
inference(res,[status(thm),theory(equality)],[5154,4220]),
[iquote('0:Res:5154.0,4220.0')] ).
cnf(14743,plain,
cyclic(skc11,skc11,skc6,u),
inference(res,[status(thm),theory(equality)],[11009,4220]),
[iquote('0:Res:11009.0,4220.0')] ).
cnf(14786,plain,
cong(skc9,skc9,skc9,skc9),
inference(mrr,[status(thm)],[5603,14716]),
[iquote('0:MRR:5603.0,14716.0')] ).
cnf(14789,plain,
cong(skc6,skc6,skc6,skc6),
inference(mrr,[status(thm)],[6923,14720]),
[iquote('0:MRR:6923.0,14720.0')] ).
cnf(14802,plain,
cyclic(skc6,skc8,u,skc10),
inference(mrr,[status(thm)],[6937,14721]),
[iquote('0:MRR:6937.0,14721.0')] ).
cnf(14820,plain,
( ~ cyclic(skc11,skc11,skc11,skc10)
| cong(skc10,skc10,skc10,skc11) ),
inference(mrr,[status(thm)],[13425,14740]),
[iquote('0:MRR:13425.2,13425.1,14740.0')] ).
cnf(14829,plain,
cyclic(skc11,skc10,u,skc6),
inference(mrr,[status(thm)],[10697,14742]),
[iquote('0:MRR:10697.0,14742.0')] ).
cnf(14891,plain,
cyclic(skc11,skc11,skc11,u),
inference(mrr,[status(thm)],[14731,893]),
[iquote('0:MRR:14731.0,893.0')] ).
cnf(14897,plain,
cyclic(skc10,skc10,skc10,u),
inference(mrr,[status(thm)],[14733,595]),
[iquote('0:MRR:14733.0,595.0')] ).
cnf(14914,plain,
cong(skc10,skc10,skc10,skc11),
inference(mrr,[status(thm)],[14820,14891]),
[iquote('0:MRR:14820.0,14891.0')] ).
cnf(27597,plain,
( ~ coll(skc9,skc9,skc9)
| midp(skc9,skc9,skc9) ),
inference(res,[status(thm),theory(equality)],[14786,37]),
[iquote('0:Res:14786.0,37.1')] ).
cnf(27616,plain,
midp(skc9,skc9,skc9),
inference(mrr,[status(thm)],[27597,2540]),
[iquote('0:MRR:27597.0,2540.0')] ).
cnf(27628,plain,
midp(skc9,skc6,skc6),
inference(res,[status(thm),theory(equality)],[27616,5235]),
[iquote('0:Res:27616.0,5235.0')] ).
cnf(34484,plain,
midp(skc6,skc10,skc11),
inference(mrr,[status(thm)],[3721,27628]),
[iquote('0:MRR:3721.0,27628.0')] ).
cnf(34485,plain,
midp(skc9,skc10,skc11),
inference(mrr,[status(thm)],[3492,34484]),
[iquote('0:MRR:3492.0,34484.0')] ).
cnf(34488,plain,
cong(skc9,skc10,skc11,skc9),
inference(mrr,[status(thm)],[3490,34484]),
[iquote('0:MRR:3490.0,34484.0')] ).
cnf(34489,plain,
cong(skc9,skc11,skc9,skc10),
inference(mrr,[status(thm)],[3491,34484]),
[iquote('0:MRR:3491.0,34484.0')] ).
cnf(34495,plain,
cong(skc11,skc6,skc10,skc6),
inference(mrr,[status(thm)],[4098,34485]),
[iquote('0:MRR:4098.0,34485.0')] ).
cnf(34537,plain,
( ~ cong(skc11,skc11,skc10,skc11)
| perp(skc11,skc11,skc11,skc6) ),
inference(mrr,[status(thm)],[10636,34495]),
[iquote('0:MRR:10636.0,34495.0')] ).
cnf(35286,plain,
( ~ coll(skc6,skc6,skc6)
| midp(skc6,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[14789,37]),
[iquote('0:Res:14789.0,37.1')] ).
cnf(35305,plain,
midp(skc6,skc6,skc6),
inference(mrr,[status(thm)],[35286,3307]),
[iquote('0:MRR:35286.0,3307.0')] ).
cnf(36235,plain,
cong(skc10,skc10,skc11,skc10),
inference(res,[status(thm),theory(equality)],[14914,20]),
[iquote('0:Res:14914.0,20.0')] ).
cnf(36240,plain,
para(skc10,skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[14914,618]),
[iquote('0:Res:14914.0,618.0')] ).
cnf(36881,plain,
cong(skc11,skc9,skc9,skc10),
inference(res,[status(thm),theory(equality)],[34488,21]),
[iquote('0:Res:34488.0,21.0')] ).
cnf(36892,plain,
( ~ cong(skc9,skc11,skc9,u)
| circle(skc9,skc11,u,skc10) ),
inference(res,[status(thm),theory(equality)],[34489,44]),
[iquote('0:Res:34489.0,44.0')] ).
cnf(36897,plain,
( ~ midp(skc9,skc10,u)
| cong(skc9,skc11,skc9,u) ),
inference(res,[status(thm),theory(equality)],[34489,763]),
[iquote('0:Res:34489.0,763.1')] ).
cnf(44439,plain,
( ~ cong(skc10,u,skc11,u)
| perp(skc10,skc11,u,skc10) ),
inference(res,[status(thm),theory(equality)],[36235,47]),
[iquote('0:Res:36235.0,47.0')] ).
cnf(44470,plain,
( ~ cyclic(skc10,skc10,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc10)
| ~ cyclic(skc11,skc11,skc10,skc10)
| cong(skc11,skc11,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[36240,3120]),
[iquote('0:Res:36240.0,3120.0')] ).
cnf(44472,plain,
( ~ cyclic(skc10,u,skc10,skc11)
| ~ cyclic(skc10,u,skc10,u)
| ~ cyclic(skc10,u,skc10,skc10)
| cong(skc10,u,skc11,u) ),
inference(res,[status(thm),theory(equality)],[36240,3118]),
[iquote('0:Res:36240.0,3118.0')] ).
cnf(44500,plain,
( ~ cyclic(skc10,skc10,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc10)
| cong(skc11,skc11,skc11,skc10) ),
inference(obv,[status(thm),theory(equality)],[44470]),
[iquote('0:Obv:44470.2')] ).
cnf(44501,plain,
cong(skc11,skc11,skc11,skc10),
inference(mrr,[status(thm)],[44500,14897,14742]),
[iquote('0:MRR:44500.0,44500.1,44500.2,14897.0,14742.0,14742.0')] ).
cnf(45094,plain,
cong(skc11,skc11,skc10,skc11),
inference(res,[status(thm),theory(equality)],[44501,20]),
[iquote('0:Res:44501.0,20.0')] ).
cnf(48444,plain,
( ~ cyclic(skc6,skc6,skc11,u)
| cyclic(skc6,skc11,u,v) ),
inference(res,[status(thm),theory(equality)],[14719,45]),
[iquote('0:Res:14719.0,45.0')] ).
cnf(48457,plain,
cyclic(skc6,skc11,u,v),
inference(mrr,[status(thm)],[48444,14719]),
[iquote('0:MRR:48444.0,14719.0')] ).
cnf(48481,plain,
( ~ cyclic(skc11,skc11,skc6,u)
| cyclic(skc11,skc6,u,v) ),
inference(res,[status(thm),theory(equality)],[14743,45]),
[iquote('0:Res:14743.0,45.0')] ).
cnf(48490,plain,
cyclic(skc11,skc6,u,v),
inference(mrr,[status(thm)],[48481,14743]),
[iquote('0:MRR:48481.0,14743.0')] ).
cnf(48536,plain,
( ~ cyclic(skc11,skc11,skc11,u)
| cyclic(skc11,skc11,u,v) ),
inference(res,[status(thm),theory(equality)],[14891,45]),
[iquote('0:Res:14891.0,45.0')] ).
cnf(48546,plain,
cyclic(skc11,skc11,u,v),
inference(mrr,[status(thm)],[48536,14891]),
[iquote('0:MRR:48536.0,14891.0')] ).
cnf(48593,plain,
perp(skc11,skc11,skc11,skc6),
inference(mrr,[status(thm)],[34537,45094]),
[iquote('0:MRR:34537.0,45094.0')] ).
cnf(48623,plain,
( ~ perp(skc10,skc6,skc10,skc11)
| perp(skc6,skc6,skc10,skc6) ),
inference(mrr,[status(thm)],[9978,48457]),
[iquote('0:MRR:9978.0,48457.0')] ).
cnf(49353,plain,
cong(skc11,skc9,skc10,skc9),
inference(res,[status(thm),theory(equality)],[36881,20]),
[iquote('0:Res:36881.0,20.0')] ).
cnf(49591,plain,
( ~ para(u,v,skc11,skc11)
| perp(u,v,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[48593,43]),
[iquote('0:Res:48593.0,43.0')] ).
cnf(49594,plain,
perp(skc11,skc6,skc11,skc11),
inference(res,[status(thm),theory(equality)],[48593,16]),
[iquote('0:Res:48593.0,16.0')] ).
cnf(49608,plain,
perp(skc10,skc6,skc10,skc11),
inference(mrr,[status(thm)],[10878,49594]),
[iquote('0:MRR:10878.0,49594.0')] ).
cnf(49610,plain,
perp(skc6,skc6,skc10,skc6),
inference(mrr,[status(thm)],[48623,49608]),
[iquote('0:MRR:48623.0,49608.0')] ).
cnf(49704,plain,
( ~ cong(skc11,u,skc10,u)
| perp(skc11,skc10,u,skc9) ),
inference(res,[status(thm),theory(equality)],[49353,47]),
[iquote('0:Res:49353.0,47.0')] ).
cnf(49887,plain,
perp(skc10,skc6,skc6,skc6),
inference(res,[status(thm),theory(equality)],[49610,16]),
[iquote('0:Res:49610.0,16.0')] ).
cnf(50085,plain,
( ~ midp(skc6,skc6,skc6)
| cong(skc10,skc6,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[49887,40]),
[iquote('0:Res:49887.0,40.1')] ).
cnf(50097,plain,
cong(skc10,skc6,skc10,skc6),
inference(mrr,[status(thm)],[50085,35305]),
[iquote('0:MRR:50085.0,35305.0')] ).
cnf(50271,plain,
cong(skc10,skc6,skc6,skc10),
inference(res,[status(thm),theory(equality)],[50097,20]),
[iquote('0:Res:50097.0,20.0')] ).
cnf(50379,plain,
cong(skc6,skc10,skc10,skc6),
inference(res,[status(thm),theory(equality)],[50271,21]),
[iquote('0:Res:50271.0,21.0')] ).
cnf(50454,plain,
cong(skc6,skc10,skc6,skc10),
inference(res,[status(thm),theory(equality)],[50379,20]),
[iquote('0:Res:50379.0,20.0')] ).
cnf(50458,plain,
( ~ cong(skc6,skc8,skc6,skc8)
| perp(skc8,skc6,skc6,skc10) ),
inference(mrr,[status(thm)],[6936,50454]),
[iquote('0:MRR:6936.0,50454.0')] ).
cnf(51037,plain,
cyclic(skc11,skc10,skc6,u),
inference(res,[status(thm),theory(equality)],[14829,17]),
[iquote('0:Res:14829.0,17.0')] ).
cnf(51038,plain,
cyclic(skc11,u,skc10,skc6),
inference(res,[status(thm),theory(equality)],[14829,18]),
[iquote('0:Res:14829.0,18.0')] ).
cnf(51042,plain,
cyclic(skc10,skc6,u,skc11),
inference(mrr,[status(thm)],[10675,51037]),
[iquote('0:MRR:10675.0,51037.0')] ).
cnf(51057,plain,
midp(skc6,skc10,skc6),
inference(mrr,[status(thm)],[6181,51042]),
[iquote('0:MRR:6181.0,51042.0')] ).
cnf(51063,plain,
( ~ perp(skc8,skc6,skc8,skc6)
| cong(skc11,skc10,skc11,skc6) ),
inference(mrr,[status(thm)],[9271,51057]),
[iquote('0:MRR:9271.1,51057.0')] ).
cnf(51068,plain,
( ~ perp(skc8,skc6,skc6,skc11)
| cong(skc8,skc10,skc8,skc6) ),
inference(mrr,[status(thm)],[8532,51057]),
[iquote('0:MRR:8532.1,51057.0')] ).
cnf(51201,plain,
cyclic(skc6,skc8,skc10,u),
inference(res,[status(thm),theory(equality)],[14802,17]),
[iquote('0:Res:14802.0,17.0')] ).
cnf(51207,plain,
cong(skc6,skc8,skc6,skc8),
inference(mrr,[status(thm)],[6990,51201]),
[iquote('0:MRR:6990.0,51201.0')] ).
cnf(51220,plain,
perp(skc8,skc6,skc6,skc10),
inference(mrr,[status(thm)],[50458,51207]),
[iquote('0:MRR:50458.0,51207.0')] ).
cnf(51222,plain,
perp(skc8,skc6,skc6,skc11),
inference(mrr,[status(thm)],[2034,51220]),
[iquote('0:MRR:2034.0,51220.0')] ).
cnf(51225,plain,
perp(skc6,skc8,skc6,skc11),
inference(mrr,[status(thm)],[2096,51220]),
[iquote('0:MRR:2096.0,51220.0')] ).
cnf(51288,plain,
cong(skc8,skc10,skc8,skc6),
inference(mrr,[status(thm)],[51068,51222]),
[iquote('0:MRR:51068.0,51222.0')] ).
cnf(51340,plain,
( ~ midp(skc8,skc10,skc6)
| cong(skc6,skc10,skc6,skc6) ),
inference(mrr,[status(thm)],[10273,51225]),
[iquote('0:MRR:10273.0,51225.0')] ).
cnf(51855,plain,
( ~ coll(skc8,skc10,skc6)
| midp(skc8,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[51288,37]),
[iquote('0:Res:51288.0,37.1')] ).
cnf(51862,plain,
midp(skc8,skc10,skc6),
inference(mrr,[status(thm)],[51855,680]),
[iquote('0:MRR:51855.0,680.0')] ).
cnf(51863,plain,
cong(skc6,skc10,skc6,skc6),
inference(mrr,[status(thm)],[51340,51862]),
[iquote('0:MRR:51340.0,51862.0')] ).
cnf(51959,plain,
( ~ perp(skc10,skc6,skc6,skc6)
| perp(skc6,skc10,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[51863,2116]),
[iquote('0:Res:51863.0,2116.0')] ).
cnf(51976,plain,
perp(skc6,skc10,skc10,skc6),
inference(mrr,[status(thm)],[51959,49887]),
[iquote('0:MRR:51959.0,49887.0')] ).
cnf(51977,plain,
perp(skc8,skc6,skc8,skc6),
inference(mrr,[status(thm)],[6587,51976]),
[iquote('0:MRR:6587.0,51976.0')] ).
cnf(52020,plain,
cong(skc11,skc10,skc11,skc6),
inference(mrr,[status(thm)],[51063,51977]),
[iquote('0:MRR:51063.0,51977.0')] ).
cnf(52638,plain,
( ~ para(skc10,skc6,skc11,skc6)
| para(skc11,skc10,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[52020,2002]),
[iquote('0:Res:52020.0,2002.0')] ).
cnf(52656,plain,
para(skc11,skc10,skc10,skc6),
inference(mrr,[status(thm)],[52638,836]),
[iquote('0:MRR:52638.0,836.0')] ).
cnf(53146,plain,
para(skc10,skc6,skc11,skc10),
inference(res,[status(thm),theory(equality)],[52656,14]),
[iquote('0:Res:52656.0,14.0')] ).
cnf(53518,plain,
para(skc10,skc6,skc10,skc11),
inference(res,[status(thm),theory(equality)],[53146,13]),
[iquote('0:Res:53146.0,13.0')] ).
cnf(53803,plain,
( ~ cyclic(skc10,skc6,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc11)
| ~ cyclic(skc11,skc11,skc10,skc6)
| ~ cyclic(skc11,skc11,skc10,skc10)
| cong(skc11,skc11,skc11,skc6) ),
inference(res,[status(thm),theory(equality)],[53518,3120]),
[iquote('0:Res:53518.0,3120.0')] ).
cnf(53814,plain,
para(skc10,skc11,skc10,skc6),
inference(res,[status(thm),theory(equality)],[53518,14]),
[iquote('0:Res:53518.0,14.0')] ).
cnf(53823,plain,
para(skc11,skc11,skc11,skc6),
inference(mrr,[status(thm)],[10869,53814]),
[iquote('0:MRR:10869.0,53814.0')] ).
cnf(53826,plain,
cong(skc11,skc11,skc11,skc6),
inference(mrr,[status(thm)],[53803,51042,48546,51038]),
[iquote('0:MRR:53803.0,53803.1,53803.2,53803.3,51042.0,48546.0,51038.0,48546.0')] ).
cnf(54177,plain,
( ~ cyclic(skc11,u,skc11,skc6)
| ~ cyclic(skc11,u,skc11,u)
| ~ cyclic(skc11,u,skc11,skc11)
| cong(skc11,u,skc6,u) ),
inference(res,[status(thm),theory(equality)],[53823,3118]),
[iquote('0:Res:53823.0,3118.0')] ).
cnf(54217,plain,
( ~ cyclic(skc11,skc6,skc11,skc6)
| ~ cyclic(skc11,skc6,skc11,skc11)
| cong(skc11,skc6,skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[53826,3129]),
[iquote('0:Res:53826.0,3129.0')] ).
cnf(54228,plain,
cong(skc11,skc6,skc6,skc6),
inference(mrr,[status(thm)],[54217,48490]),
[iquote('0:MRR:54217.0,54217.1,48490.0,48490.0')] ).
cnf(54628,plain,
( ~ cong(skc11,u,skc6,u)
| perp(skc11,skc6,u,skc6) ),
inference(res,[status(thm),theory(equality)],[54228,47]),
[iquote('0:Res:54228.0,47.0')] ).
cnf(55788,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[2011,4603]),
[iquote('0:Res:2011.0,4603.0')] ).
cnf(55821,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1099,55788]),
[iquote('0:MRR:1099.0,55788.0')] ).
cnf(55822,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1598,55788]),
[iquote('0:MRR:1598.0,55788.0')] ).
cnf(55824,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4220,55788]),
[iquote('0:MRR:4220.0,55788.0')] ).
cnf(55835,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| cong(w,w,w,v) ),
inference(mrr,[status(thm)],[3120,55824]),
[iquote('0:MRR:3120.4,3120.3,3120.2,55824.0')] ).
cnf(55968,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[55821,19]),
[iquote('0:Res:55821.1,19.0')] ).
cnf(56005,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[55968,55822]),
[iquote('0:MRR:55968.0,55822.0')] ).
cnf(56058,plain,
( ~ cyclic(skc11,u,skc11,skc10)
| ~ cyclic(skc11,u,skc11,u)
| cong(skc11,u,skc10,u) ),
inference(mrr,[status(thm)],[12811,56005]),
[iquote('0:MRR:12811.2,56005.0')] ).
cnf(56059,plain,
( ~ cyclic(skc11,u,skc11,skc6)
| ~ cyclic(skc11,u,skc11,u)
| cong(skc11,u,skc6,u) ),
inference(mrr,[status(thm)],[54177,56005]),
[iquote('0:MRR:54177.2,56005.0')] ).
cnf(56260,plain,
( ~ cyclic(skc10,u,skc10,skc11)
| ~ cyclic(skc10,u,skc10,u)
| cong(skc10,u,skc11,u) ),
inference(mrr,[status(thm)],[44472,56005]),
[iquote('0:MRR:44472.2,56005.0')] ).
cnf(57366,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[55824,93]),
[iquote('0:Res:55824.0,93.0')] ).
cnf(57367,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[55824,45]),
[iquote('0:Res:55824.0,45.0')] ).
cnf(57369,plain,
cyclic(u,v,u,w),
inference(res,[status(thm),theory(equality)],[55824,18]),
[iquote('0:Res:55824.0,18.0')] ).
cnf(57375,plain,
( ~ para(u,v,u,w)
| cong(w,w,w,v) ),
inference(mrr,[status(thm)],[55835,57369]),
[iquote('0:MRR:55835.1,57369.0')] ).
cnf(57402,plain,
cong(skc11,u,skc10,u),
inference(mrr,[status(thm)],[56058,57369]),
[iquote('0:MRR:56058.0,56058.1,57369.0')] ).
cnf(57403,plain,
cong(skc11,u,skc6,u),
inference(mrr,[status(thm)],[56059,57369]),
[iquote('0:MRR:56059.0,56059.1,57369.0')] ).
cnf(57457,plain,
cong(skc10,u,skc11,u),
inference(mrr,[status(thm)],[56260,57369]),
[iquote('0:MRR:56260.0,56260.1,57369.0')] ).
cnf(57492,plain,
perp(skc11,skc10,u,skc9),
inference(mrr,[status(thm)],[49704,57402]),
[iquote('0:MRR:49704.0,57402.0')] ).
cnf(57498,plain,
perp(skc11,skc6,u,skc6),
inference(mrr,[status(thm)],[54628,57403]),
[iquote('0:MRR:54628.0,57403.0')] ).
cnf(57521,plain,
perp(skc10,skc11,u,skc10),
inference(mrr,[status(thm)],[44439,57457]),
[iquote('0:MRR:44439.0,57457.0')] ).
cnf(57548,plain,
coll(skc9,skc6,u),
inference(mrr,[status(thm)],[14424,57492]),
[iquote('0:MRR:14424.0,57492.0')] ).
cnf(57637,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[57367,55824]),
[iquote('0:MRR:57367.0,55824.0')] ).
cnf(57657,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3128,57637]),
[iquote('0:MRR:3128.0,3128.1,57637.0')] ).
cnf(58047,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[57366,57657]),
[iquote('0:MRR:57366.0,57366.1,57657.0,57657.0')] ).
cnf(58131,plain,
( ~ midp(u,skc11,skc11)
| midp(u,skc10,v) ),
inference(mrr,[status(thm)],[14073,58047]),
[iquote('0:MRR:14073.0,58047.0')] ).
cnf(58420,plain,
( ~ coll(skc9,skc6,u)
| coll(u,v,skc9) ),
inference(res,[status(thm),theory(equality)],[57548,24]),
[iquote('0:Res:57548.0,24.0')] ).
cnf(58577,plain,
coll(u,v,skc9),
inference(mrr,[status(thm)],[58420,57548]),
[iquote('0:MRR:58420.0,57548.0')] ).
cnf(58891,plain,
coll(u,skc9,v),
inference(res,[status(thm),theory(equality)],[58577,6]),
[iquote('0:Res:58577.0,6.0')] ).
cnf(59499,plain,
( ~ coll(u,skc9,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[58891,24]),
[iquote('0:Res:58891.0,24.0')] ).
cnf(59521,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[59499,58891]),
[iquote('0:MRR:59499.0,58891.0')] ).
cnf(59522,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[37,59521]),
[iquote('0:MRR:37.0,59521.0')] ).
cnf(59606,plain,
( ~ cong(u,u,u,v)
| ~ circle(u,u,v,u)
| midp(v,v,u) ),
inference(mrr,[status(thm)],[4556,59521]),
[iquote('0:MRR:4556.1,59521.0')] ).
cnf(59825,plain,
( ~ perp(u,v,skc11,skc6)
| para(u,v,w,skc6) ),
inference(res,[status(thm),theory(equality)],[57498,42]),
[iquote('0:Res:57498.0,42.0')] ).
cnf(60046,plain,
( ~ para(u,v,skc10,skc11)
| perp(u,v,w,skc10) ),
inference(res,[status(thm),theory(equality)],[57521,43]),
[iquote('0:Res:57521.0,43.0')] ).
cnf(60343,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[57657,59522]),
[iquote('0:Res:57657.0,59522.0')] ).
cnf(60348,plain,
( ~ cong(u,v,u,w)
| circle(u,v,w,v) ),
inference(res,[status(thm),theory(equality)],[57657,44]),
[iquote('0:Res:57657.0,44.0')] ).
cnf(60361,plain,
( ~ midp(u,skc10,v)
| para(u,w,v,skc11) ),
inference(mrr,[status(thm)],[3287,60343]),
[iquote('0:MRR:3287.0,60343.0')] ).
cnf(60434,plain,
midp(u,skc10,v),
inference(mrr,[status(thm)],[58131,60343]),
[iquote('0:MRR:58131.0,60343.0')] ).
cnf(60435,plain,
( ~ midp(u,u,v)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[4253,60343]),
[iquote('0:MRR:4253.1,60343.0')] ).
cnf(60561,plain,
cong(skc9,skc11,skc9,u),
inference(mrr,[status(thm)],[36897,60434]),
[iquote('0:MRR:36897.0,60434.0')] ).
cnf(60733,plain,
circle(skc9,skc11,u,skc10),
inference(mrr,[status(thm)],[36892,60561]),
[iquote('0:MRR:36892.0,60561.0')] ).
cnf(60794,plain,
( ~ perp(u,v,w,skc10)
| para(u,v,skc11,w) ),
inference(mrr,[status(thm)],[14218,60733]),
[iquote('0:MRR:14218.0,60733.0')] ).
cnf(60816,plain,
para(u,v,w,skc11),
inference(mrr,[status(thm)],[60361,60434]),
[iquote('0:MRR:60361.0,60434.0')] ).
cnf(60826,plain,
perp(u,v,skc9,skc6),
inference(mrr,[status(thm)],[14381,60816]),
[iquote('0:MRR:14381.0,60816.0')] ).
cnf(60833,plain,
perp(u,v,skc11,skc6),
inference(mrr,[status(thm)],[49591,60816]),
[iquote('0:MRR:49591.0,60816.0')] ).
cnf(60854,plain,
perp(u,v,w,skc10),
inference(mrr,[status(thm)],[60046,60816]),
[iquote('0:MRR:60046.0,60816.0')] ).
cnf(60924,plain,
( ~ para(u,v,skc11,skc10)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[14521,60826]),
[iquote('0:MRR:14521.0,60826.0')] ).
cnf(60969,plain,
para(u,v,w,skc6),
inference(mrr,[status(thm)],[59825,60833]),
[iquote('0:MRR:59825.0,60833.0')] ).
cnf(61152,plain,
~ eqangle(skc9,skc6,skc6,skc8,u,v,skc6,skc7),
inference(mrr,[status(thm)],[7073,60969]),
[iquote('0:MRR:7073.0,60969.0')] ).
cnf(61204,plain,
( ~ cong(u,u,u,v)
| midp(v,v,u) ),
inference(mrr,[status(thm)],[59606,60348]),
[iquote('0:MRR:59606.1,60348.1')] ).
cnf(61210,plain,
para(u,v,skc11,w),
inference(mrr,[status(thm)],[60794,60854]),
[iquote('0:MRR:60794.0,60854.0')] ).
cnf(61212,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[60924,61210]),
[iquote('0:MRR:60924.0,61210.0')] ).
cnf(61332,plain,
cong(u,u,u,v),
inference(mrr,[status(thm)],[57375,61212]),
[iquote('0:MRR:57375.0,61212.0')] ).
cnf(61575,plain,
midp(u,u,v),
inference(mrr,[status(thm)],[61204,61332]),
[iquote('0:MRR:61204.0,61332.0')] ).
cnf(61586,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[60435,61575]),
[iquote('0:MRR:60435.0,61575.0')] ).
cnf(61649,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[4942,61586]),
[iquote('0:MRR:4942.1,4942.0,61586.0')] ).
cnf(61694,plain,
( ~ circle(u,v,w,x)
| ~ circle(y,u,w,z)
| eqangle(w,v,v,x,y,w,y,x1) ),
inference(mrr,[status(thm)],[13028,61586]),
[iquote('0:MRR:13028.2,13028.0,61586.0')] ).
cnf(62167,plain,
eqangle(u,v,v,w,x,u,x,y),
inference(mrr,[status(thm)],[61694,61649]),
[iquote('0:MRR:61694.0,61694.1,61649.0,61649.0')] ).
cnf(62168,plain,
$false,
inference(unc,[status(thm)],[62167,61152]),
[iquote('0:UnC:62167.0,61152.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.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 : 600
% 0.13/0.34 % DateTime : Fri Jun 17 20:00:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 71.00/71.21
% 71.00/71.21 SPASS V 3.9
% 71.00/71.21 SPASS beiseite: Proof found.
% 71.00/71.21 % SZS status Theorem
% 71.00/71.21 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.00/71.21 SPASS derived 50603 clauses, backtracked 10402 clauses, performed 3 splits and kept 37378 clauses.
% 71.00/71.21 SPASS allocated 121538 KBytes.
% 71.00/71.21 SPASS spent 0:1:10.79 on the problem.
% 71.00/71.21 0:00:00.04 for the input.
% 71.00/71.21 0:00:00.24 for the FLOTTER CNF translation.
% 71.00/71.21 0:00:00.67 for inferences.
% 71.00/71.21 0:00:01.25 for the backtracking.
% 71.00/71.21 0:01:07.73 for the reduction.
% 71.00/71.21
% 71.00/71.21
% 71.00/71.21 Here is a proof with depth 14, length 464 :
% 71.00/71.21 % SZS output start Refutation
% See solution above
% 71.21/71.43 Formulae used in the proof : exemplo6GDDFULL618079 ruleD1 ruleD2 ruleD66 ruleD68 ruleD4 ruleD5 ruleD7 ruleD8 ruleD14 ruleD15 ruleD16 ruleD23 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD44 ruleD46 ruleD67 ruleD53 ruleD55 ruleD6 ruleD9 ruleD10 ruleD12 ruleD17 ruleD25 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleD50 ruleD42b ruleD74 ruleD73 ruleD64 ruleD54 ruleD49 ruleD48 ruleD57 ruleD51 ruleD22 ruleD43
% 71.21/71.43
%------------------------------------------------------------------------------