TSTP Solution File: GEO577+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 Jul 27 12:55:32 EDT 2022
% Result : Theorem 49.68s 49.86s
% Output : Refutation 49.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of clauses : 166 ( 129 unt; 0 nHn; 164 RR)
% Number of literals : 227 ( 0 equ; 62 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 169 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(A,B,C)
| coll(A,C,B) ),
file('GEO577+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ coll(A,B,C)
| coll(B,A,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
file('GEO577+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
file('GEO577+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
file('GEO577+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
file('GEO577+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
file('GEO577+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(A,B,C)
| midp(A,C,B) ),
file('GEO577+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ e_qangle(A,B,C,D,E,F,G,H)
| e_qangle(C,D,A,B,G,H,E,F) ),
file('GEO577+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ e_qangle(A,B,C,D,E,F,G,H)
| e_qangle(A,B,E,F,C,D,G,H) ),
file('GEO577+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ e_qangle(A,B,C,D,E,F,C,D)
| para(A,B,E,F) ),
file('GEO577+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(A,B,C,D)
| e_qangle(A,B,E,F,C,D,E,F) ),
file('GEO577+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ e_qangle(A,B,A,C,D,B,D,C)
| ~ coll(A,D,C)
| cyclic(B,C,A,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,F)
| ~ e_qangle(C,A,C,B,F,D,F,E)
| cong(A,B,D,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ midp(A,B,C)
| ~ midp(D,B,E)
| para(A,D,C,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ midp(A,B,C)
| ~ para(A,D,C,E)
| ~ coll(D,B,E)
| midp(D,B,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ midp(A,B,C)
| ~ perp(D,A,B,C)
| cong(D,B,D,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ cong(A,B,C,B)
| ~ cong(A,D,C,D)
| perp(A,C,B,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ cong(A,B,C,B)
| ~ cong(A,D,C,D)
| ~ cyclic(A,C,B,D)
| perp(B,A,A,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ midp(A,B,C)
| ~ midp(A,D,E)
| para(B,D,C,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ midp(A,B,C)
| ~ para(B,D,C,E)
| ~ para(B,E,C,D)
| midp(A,D,E) ),
file('GEO577+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ cong(A,B,A,C)
| ~ coll(A,B,C)
| midp(A,B,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
file('GEO577+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ e_qangle(A,B,C,D,E,F,G,H)
| ~ para(E,F,G,H)
| para(A,B,C,D) ),
file('GEO577+1.p',unknown),
[] ).
cnf(113,axiom,
~ para(dollar_c4,dollar_c3,dollar_c9,dollar_c6),
file('GEO577+1.p',unknown),
[] ).
cnf(114,plain,
( ~ coll(A,B,C)
| coll(C,C,A) ),
inference(factor,[status(thm)],[3]),
[iquote('factor,3.1.2')] ).
cnf(120,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,C,D,D) ),
inference(factor,[status(thm)],[17]),
[iquote('factor,17.1.2')] ).
cnf(123,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| ~ e_qangle(C,A,C,B,E,D,E,E)
| cong(A,B,D,E) ),
inference(factor,[status(thm)],[44]),
[iquote('factor,44.2.3')] ).
cnf(126,plain,
( ~ cong(A,B,C,B)
| ~ cyclic(A,C,B,B)
| perp(B,A,A,B) ),
inference(factor,[status(thm)],[58]),
[iquote('factor,58.1.2')] ).
cnf(128,plain,
( ~ midp(A,B,C)
| para(B,B,C,C) ),
inference(factor,[status(thm)],[64]),
[iquote('factor,64.1.2')] ).
cnf(129,plain,
( ~ midp(A,B,C)
| ~ para(B,D,C,D)
| midp(A,D,D) ),
inference(factor,[status(thm)],[65]),
[iquote('factor,65.2.3')] ).
cnf(160,axiom,
e_qangle(dollar_c6,dollar_c9,dollar_c9,dollar_c8,dollar_c6,dollar_c9,dollar_c9,dollar_c7),
file('GEO577+1.p',unknown),
[] ).
cnf(161,axiom,
e_qangle(dollar_c6,dollar_c8,dollar_c8,dollar_c7,dollar_c6,dollar_c8,dollar_c8,dollar_c9),
file('GEO577+1.p',unknown),
[] ).
cnf(165,axiom,
coll(dollar_c4,dollar_c7,dollar_c6),
file('GEO577+1.p',unknown),
[] ).
cnf(166,axiom,
perp(dollar_c8,dollar_c6,dollar_c8,dollar_c3),
file('GEO577+1.p',unknown),
[] ).
cnf(168,plain,
coll(dollar_c6,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[165,114]),
[iquote('hyper,165,114')] ).
cnf(169,plain,
coll(dollar_c7,dollar_c4,dollar_c6),
inference(hyper,[status(thm)],[165,2]),
[iquote('hyper,165,2')] ).
cnf(170,plain,
coll(dollar_c4,dollar_c6,dollar_c7),
inference(hyper,[status(thm)],[165,1]),
[iquote('hyper,165,1')] ).
cnf(197,plain,
coll(dollar_c6,dollar_c6,dollar_c7),
inference(hyper,[status(thm)],[169,114]),
[iquote('hyper,169,114')] ).
cnf(211,plain,
coll(dollar_c7,dollar_c7,dollar_c4),
inference(hyper,[status(thm)],[170,114]),
[iquote('hyper,170,114')] ).
cnf(225,plain,
e_qangle(dollar_c6,dollar_c9,dollar_c6,dollar_c9,dollar_c9,dollar_c8,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[160,21]),
[iquote('hyper,160,21')] ).
cnf(227,plain,
e_qangle(dollar_c9,dollar_c8,dollar_c6,dollar_c9,dollar_c9,dollar_c7,dollar_c6,dollar_c9),
inference(hyper,[status(thm)],[160,19]),
[iquote('hyper,160,19')] ).
cnf(288,plain,
coll(dollar_c7,dollar_c7,dollar_c6),
inference(hyper,[status(thm)],[197,114]),
[iquote('hyper,197,114')] ).
cnf(289,plain,
coll(dollar_c6,dollar_c7,dollar_c6),
inference(hyper,[status(thm)],[197,1]),
[iquote('hyper,197,1')] ).
cnf(318,plain,
e_qangle(dollar_c8,dollar_c7,dollar_c6,dollar_c8,dollar_c8,dollar_c9,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[161,19]),
[iquote('hyper,161,19')] ).
cnf(628,plain,
perp(dollar_c8,dollar_c3,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[166,8]),
[iquote('hyper,166,8')] ).
cnf(629,plain,
perp(dollar_c8,dollar_c6,dollar_c3,dollar_c8),
inference(hyper,[status(thm)],[166,7]),
[iquote('hyper,166,7')] ).
cnf(795,plain,
para(dollar_c8,dollar_c6,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[628,9,166]),
[iquote('hyper,628,9,166')] ).
cnf(796,plain,
para(dollar_c8,dollar_c3,dollar_c8,dollar_c3),
inference(hyper,[status(thm)],[628,9,166]),
[iquote('hyper,628,9,166')] ).
cnf(814,plain,
para(dollar_c8,dollar_c3,dollar_c3,dollar_c8),
inference(hyper,[status(thm)],[629,9,628]),
[iquote('hyper,629,9,628')] ).
cnf(815,plain,
perp(dollar_c3,dollar_c8,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[629,8]),
[iquote('hyper,629,8')] ).
cnf(832,plain,
coll(dollar_c8,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[795,67]),
[iquote('hyper,795,67')] ).
cnf(833,plain,
e_qangle(dollar_c8,dollar_c6,A,B,dollar_c8,dollar_c6,A,B),
inference(hyper,[status(thm)],[795,40]),
[iquote('hyper,795,40')] ).
cnf(834,plain,
para(dollar_c8,dollar_c6,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[795,4]),
[iquote('hyper,795,4')] ).
cnf(851,plain,
coll(dollar_c6,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[832,114]),
[iquote('hyper,832,114')] ).
cnf(965,plain,
coll(dollar_c8,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[851,114]),
[iquote('hyper,851,114')] ).
cnf(967,plain,
coll(dollar_c4,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[851,3,168]),
[iquote('hyper,851,3,168')] ).
cnf(968,plain,
coll(dollar_c8,dollar_c7,dollar_c6),
inference(hyper,[status(thm)],[851,3,197]),
[iquote('hyper,851,3,197')] ).
cnf(969,plain,
coll(dollar_c8,dollar_c4,dollar_c6),
inference(hyper,[status(thm)],[851,3,168]),
[iquote('hyper,851,3,168')] ).
cnf(994,plain,
coll(dollar_c8,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[965,1]),
[iquote('hyper,965,1')] ).
cnf(1112,plain,
coll(dollar_c4,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[967,1]),
[iquote('hyper,967,1')] ).
cnf(1125,plain,
coll(dollar_c8,dollar_c6,dollar_c7),
inference(hyper,[status(thm)],[968,1]),
[iquote('hyper,968,1')] ).
cnf(1138,plain,
coll(dollar_c8,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[969,1]),
[iquote('hyper,969,1')] ).
cnf(1151,plain,
coll(dollar_c8,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[994,114]),
[iquote('hyper,994,114')] ).
cnf(1152,plain,
coll(dollar_c6,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[994,3,832]),
[iquote('hyper,994,3,832')] ).
cnf(1278,plain,
coll(dollar_c8,dollar_c8,dollar_c4),
inference(hyper,[status(thm)],[1112,114]),
[iquote('hyper,1112,114')] ).
cnf(1292,plain,
coll(dollar_c8,dollar_c7,dollar_c8),
inference(hyper,[status(thm)],[1125,3,994]),
[iquote('hyper,1125,3,994')] ).
cnf(1303,plain,
coll(dollar_c4,dollar_c7,dollar_c8),
inference(hyper,[status(thm)],[1138,3,1125]),
[iquote('hyper,1138,3,1125')] ).
cnf(1491,plain,
coll(dollar_c8,dollar_c3,dollar_c3),
inference(hyper,[status(thm)],[796,67]),
[iquote('hyper,796,67')] ).
cnf(1493,plain,
coll(dollar_c3,dollar_c3,dollar_c8),
inference(hyper,[status(thm)],[1491,114]),
[iquote('hyper,1491,114')] ).
cnf(1502,plain,
coll(dollar_c8,dollar_c8,dollar_c3),
inference(hyper,[status(thm)],[1493,114]),
[iquote('hyper,1493,114')] ).
cnf(1523,plain,
coll(dollar_c6,dollar_c3,dollar_c8),
inference(hyper,[status(thm)],[1502,3,965]),
[iquote('hyper,1502,3,965')] ).
cnf(1527,plain,
coll(dollar_c3,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[1502,3,965]),
[iquote('hyper,1502,3,965')] ).
cnf(1530,plain,
coll(dollar_c6,dollar_c8,dollar_c3),
inference(hyper,[status(thm)],[1523,1]),
[iquote('hyper,1523,1')] ).
cnf(1538,plain,
coll(dollar_c3,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[1527,1]),
[iquote('hyper,1527,1')] ).
cnf(1577,plain,
coll(dollar_c8,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1530,2]),
[iquote('hyper,1530,2')] ).
cnf(1612,plain,
para(dollar_c3,dollar_c8,dollar_c8,dollar_c3),
inference(hyper,[status(thm)],[814,5]),
[iquote('hyper,814,5')] ).
cnf(1646,plain,
para(dollar_c6,dollar_c8,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[834,5]),
[iquote('hyper,834,5')] ).
cnf(1893,plain,
para(dollar_c9,dollar_c8,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[227,39]),
[iquote('hyper,227,39')] ).
cnf(1894,plain,
para(dollar_c6,dollar_c9,dollar_c6,dollar_c9),
inference(hyper,[status(thm)],[1893,73,225]),
[iquote('hyper,1893,73,225')] ).
cnf(1895,plain,
coll(dollar_c9,dollar_c8,dollar_c7),
inference(hyper,[status(thm)],[1893,67]),
[iquote('hyper,1893,67')] ).
cnf(1896,plain,
para(dollar_c9,dollar_c7,dollar_c9,dollar_c8),
inference(hyper,[status(thm)],[1893,5]),
[iquote('hyper,1893,5')] ).
cnf(1897,plain,
para(dollar_c9,dollar_c8,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1893,4]),
[iquote('hyper,1893,4')] ).
cnf(1898,plain,
coll(dollar_c7,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1895,114]),
[iquote('hyper,1895,114')] ).
cnf(1899,plain,
coll(dollar_c8,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[1895,2]),
[iquote('hyper,1895,2')] ).
cnf(1904,plain,
coll(dollar_c6,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[1898,3,288]),
[iquote('hyper,1898,3,288')] ).
cnf(1905,plain,
coll(dollar_c4,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[1898,3,211]),
[iquote('hyper,1898,3,211')] ).
cnf(1910,plain,
coll(dollar_c8,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1899,1]),
[iquote('hyper,1899,1')] ).
cnf(1915,plain,
coll(dollar_c6,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1904,1]),
[iquote('hyper,1904,1')] ).
cnf(1916,plain,
coll(dollar_c4,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1905,1]),
[iquote('hyper,1905,1')] ).
cnf(1923,plain,
coll(dollar_c8,dollar_c9,dollar_c8),
inference(hyper,[status(thm)],[1910,3,1292]),
[iquote('hyper,1910,3,1292')] ).
cnf(1955,plain,
coll(dollar_c9,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[1915,114]),
[iquote('hyper,1915,114')] ).
cnf(1960,plain,
coll(dollar_c6,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[1915,3,289]),
[iquote('hyper,1915,3,289')] ).
cnf(1968,plain,
coll(dollar_c8,dollar_c9,dollar_c4),
inference(hyper,[status(thm)],[1916,3,1303]),
[iquote('hyper,1916,3,1303')] ).
cnf(2014,plain,
para(dollar_c6,dollar_c9,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[1894,4]),
[iquote('hyper,1894,4')] ).
cnf(2017,plain,
para(dollar_c9,dollar_c7,dollar_c8,dollar_c9),
inference(hyper,[status(thm)],[1896,4]),
[iquote('hyper,1896,4')] ).
cnf(2018,plain,
para(dollar_c9,dollar_c7,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[1897,6,1896]),
[iquote('hyper,1897,6,1896')] ).
cnf(2022,plain,
para(dollar_c8,dollar_c9,dollar_c9,dollar_c7),
inference(hyper,[status(thm)],[2017,5]),
[iquote('hyper,2017,5')] ).
cnf(2028,plain,
para(dollar_c8,dollar_c9,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[2022,6,2018]),
[iquote('hyper,2022,6,2018')] ).
cnf(2029,plain,
para(dollar_c8,dollar_c9,dollar_c8,dollar_c9),
inference(hyper,[status(thm)],[2022,6,2017]),
[iquote('hyper,2022,6,2017')] ).
cnf(2527,plain,
para(dollar_c8,dollar_c7,dollar_c8,dollar_c9),
inference(hyper,[status(thm)],[318,39]),
[iquote('hyper,318,39')] ).
cnf(2528,plain,
para(dollar_c8,dollar_c7,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[2527,6,2028]),
[iquote('hyper,2527,6,2028')] ).
cnf(2531,plain,
para(dollar_c8,dollar_c9,dollar_c8,dollar_c7),
inference(hyper,[status(thm)],[2527,5]),
[iquote('hyper,2527,5')] ).
cnf(2532,plain,
para(dollar_c7,dollar_c9,dollar_c8,dollar_c7),
inference(hyper,[status(thm)],[2528,5]),
[iquote('hyper,2528,5')] ).
cnf(2535,plain,
para(dollar_c8,dollar_c7,dollar_c8,dollar_c7),
inference(hyper,[status(thm)],[2531,6,2527]),
[iquote('hyper,2531,6,2527')] ).
cnf(2537,plain,
para(dollar_c7,dollar_c9,dollar_c7,dollar_c8),
inference(hyper,[status(thm)],[2532,4]),
[iquote('hyper,2532,4')] ).
cnf(2542,plain,
para(dollar_c7,dollar_c8,dollar_c7,dollar_c9),
inference(hyper,[status(thm)],[2537,5]),
[iquote('hyper,2537,5')] ).
cnf(2699,plain,
cyclic(dollar_c6,dollar_c4,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[833,43,1278]),
[iquote('hyper,833,43,1278')] ).
cnf(2701,plain,
cyclic(dollar_c6,dollar_c8,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[833,43,1151]),
[iquote('hyper,833,43,1151')] ).
cnf(2702,plain,
cyclic(dollar_c6,dollar_c6,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[833,43,965]),
[iquote('hyper,833,43,965')] ).
cnf(2711,plain,
cyclic(dollar_c6,dollar_c8,dollar_c4,dollar_c8),
inference(hyper,[status(thm)],[2699,15]),
[iquote('hyper,2699,15')] ).
cnf(2717,plain,
cyclic(dollar_c6,dollar_c8,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2702,15]),
[iquote('hyper,2702,15')] ).
cnf(2728,plain,
cyclic(dollar_c8,dollar_c6,dollar_c4,dollar_c8),
inference(hyper,[status(thm)],[2711,16]),
[iquote('hyper,2711,16')] ).
cnf(2729,plain,
cyclic(dollar_c6,dollar_c8,dollar_c8,dollar_c4),
inference(hyper,[status(thm)],[2711,14]),
[iquote('hyper,2711,14')] ).
cnf(2735,plain,
cyclic(dollar_c8,dollar_c6,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2717,16]),
[iquote('hyper,2717,16')] ).
cnf(2736,plain,
cyclic(dollar_c6,dollar_c8,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2717,14]),
[iquote('hyper,2717,14')] ).
cnf(2754,plain,
cyclic(dollar_c8,dollar_c6,dollar_c8,dollar_c4),
inference(hyper,[status(thm)],[2728,14]),
[iquote('hyper,2728,14')] ).
cnf(2774,plain,
cyclic(dollar_c8,dollar_c6,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2735,14]),
[iquote('hyper,2735,14')] ).
cnf(2775,plain,
cong(dollar_c6,dollar_c8,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2736,123,2701,833]),
[iquote('hyper,2736,123,2701,833')] ).
cnf(2776,plain,
cyclic(dollar_c8,dollar_c8,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[2736,120]),
[iquote('hyper,2736,120')] ).
cnf(2782,plain,
cyclic(dollar_c8,dollar_c8,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[2736,17,2729]),
[iquote('hyper,2736,17,2729')] ).
cnf(2808,plain,
cyclic(dollar_c6,dollar_c8,dollar_c4,dollar_c4),
inference(hyper,[status(thm)],[2754,120]),
[iquote('hyper,2754,120')] ).
cnf(2903,plain,
cyclic(dollar_c6,dollar_c8,dollar_c4,dollar_c6),
inference(hyper,[status(thm)],[2774,17,2754]),
[iquote('hyper,2774,17,2754')] ).
cnf(2910,plain,
perp(dollar_c8,dollar_c6,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2775,126,2702]),
[iquote('hyper,2775,126,2702')] ).
cnf(2913,plain,
midp(dollar_c6,dollar_c8,dollar_c8),
inference(hyper,[status(thm)],[2775,68,1152]),
[iquote('hyper,2775,68,1152')] ).
cnf(2915,plain,
midp(dollar_c6,dollar_c7,dollar_c7),
inference(hyper,[status(thm)],[2913,129,2535]),
[iquote('hyper,2913,129,2535')] ).
cnf(2916,plain,
midp(dollar_c6,dollar_c9,dollar_c9),
inference(hyper,[status(thm)],[2913,129,2029]),
[iquote('hyper,2913,129,2029')] ).
cnf(2918,plain,
midp(dollar_c6,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[2913,129,795]),
[iquote('hyper,2913,129,795')] ).
cnf(2923,plain,
midp(dollar_c8,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2913,46,1646,965]),
[iquote('hyper,2913,46,1646,965')] ).
cnf(2927,plain,
midp(dollar_c6,dollar_c8,dollar_c9),
inference(hyper,[status(thm)],[2915,65,2542,2537]),
[iquote('hyper,2915,65,2542,2537')] ).
cnf(2928,plain,
midp(dollar_c6,dollar_c9,dollar_c8),
inference(hyper,[status(thm)],[2915,65,2537,2542]),
[iquote('hyper,2915,65,2537,2542')] ).
cnf(2935,plain,
midp(dollar_c9,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[2916,46,2014,1955]),
[iquote('hyper,2916,46,2014,1955')] ).
cnf(2944,plain,
cong(dollar_c6,dollar_c6,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[2918,69]),
[iquote('hyper,2918,69')] ).
cnf(2974,plain,
para(dollar_c8,dollar_c8,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[2923,128]),
[iquote('hyper,2923,128')] ).
cnf(2976,plain,
cong(dollar_c3,dollar_c8,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[2923,56,815]),
[iquote('hyper,2923,56,815')] ).
cnf(2991,plain,
para(dollar_c6,dollar_c6,dollar_c8,dollar_c9),
inference(hyper,[status(thm)],[2927,45,2913]),
[iquote('hyper,2927,45,2913')] ).
cnf(3049,plain,
para(dollar_c6,dollar_c9,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2935,45,2928]),
[iquote('hyper,2935,45,2928')] ).
cnf(3090,plain,
cyclic(dollar_c8,dollar_c6,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[2776,120]),
[iquote('hyper,2776,120')] ).
cnf(3132,plain,
cyclic(dollar_c8,dollar_c6,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[2782,17,2776]),
[iquote('hyper,2782,17,2776')] ).
cnf(3219,plain,
cyclic(dollar_c6,dollar_c4,dollar_c8,dollar_c4),
inference(hyper,[status(thm)],[2808,15]),
[iquote('hyper,2808,15')] ).
cnf(3702,plain,
cyclic(dollar_c6,dollar_c4,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2903,15]),
[iquote('hyper,2903,15')] ).
cnf(3711,plain,
para(dollar_c3,dollar_c8,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2910,9,815]),
[iquote('hyper,2910,9,815')] ).
cnf(3755,plain,
perp(dollar_c6,dollar_c6,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[2944,57,2775]),
[iquote('hyper,2944,57,2775')] ).
cnf(3772,plain,
midp(dollar_c3,dollar_c8,dollar_c6),
inference(hyper,[status(thm)],[2976,68,1538]),
[iquote('hyper,2976,68,1538')] ).
cnf(3774,plain,
midp(dollar_c3,dollar_c6,dollar_c8),
inference(hyper,[status(thm)],[3772,65,834,2974]),
[iquote('hyper,3772,65,834,2974')] ).
cnf(3792,plain,
midp(dollar_c8,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[3774,46,1612,1577]),
[iquote('hyper,3774,46,1612,1577')] ).
cnf(3847,plain,
midp(dollar_c8,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[3792,11]),
[iquote('hyper,3792,11')] ).
cnf(4042,plain,
midp(dollar_c3,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[3049,65,3774,2991]),
[iquote('hyper,3049,65,3774,2991')] ).
cnf(4495,plain,
cyclic(dollar_c6,dollar_c6,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[3132,17,3090]),
[iquote('hyper,3132,17,3090')] ).
cnf(4617,plain,
cong(dollar_c6,dollar_c4,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[3702,44,3219,2699,833]),
[iquote('hyper,3702,44,3219,2699,833')] ).
cnf(4633,plain,
midp(dollar_c8,dollar_c9,dollar_c8),
inference(hyper,[status(thm)],[3711,46,4042,1923]),
[iquote('hyper,3711,46,4042,1923')] ).
cnf(4746,plain,
midp(dollar_c6,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[4633,46,795,1960]),
[iquote('hyper,4633,46,795,1960')] ).
cnf(5281,plain,
perp(dollar_c6,dollar_c8,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[3755,8]),
[iquote('hyper,3755,8')] ).
cnf(5953,plain,
perp(dollar_c6,dollar_c6,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[4617,58,2944,4495]),
[iquote('hyper,4617,58,2944,4495')] ).
cnf(6708,plain,
para(dollar_c6,dollar_c8,dollar_c6,dollar_c4),
inference(hyper,[status(thm)],[5953,9,5281]),
[iquote('hyper,5953,9,5281')] ).
cnf(7460,plain,
midp(dollar_c8,dollar_c9,dollar_c4),
inference(hyper,[status(thm)],[6708,46,4746,1968]),
[iquote('hyper,6708,46,4746,1968')] ).
cnf(7488,plain,
midp(dollar_c8,dollar_c4,dollar_c9),
inference(hyper,[status(thm)],[7460,11]),
[iquote('hyper,7460,11')] ).
cnf(7678,plain,
para(dollar_c4,dollar_c3,dollar_c9,dollar_c6),
inference(hyper,[status(thm)],[7488,64,3847]),
[iquote('hyper,7488,64,3847')] ).
cnf(7679,plain,
$false,
inference(binary,[status(thm)],[7678,113]),
[iquote('binary,7678.1,113.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:42:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.30/2.51 ----- Otter 3.3f, August 2004 -----
% 2.30/2.51 The process was started by sandbox on n026.cluster.edu,
% 2.30/2.51 Wed Jul 27 07:42:39 2022
% 2.30/2.51 The command was "./otter". The process ID is 30763.
% 2.30/2.51
% 2.30/2.51 set(prolog_style_variables).
% 2.30/2.51 set(auto).
% 2.30/2.51 dependent: set(auto1).
% 2.30/2.51 dependent: set(process_input).
% 2.30/2.51 dependent: clear(print_kept).
% 2.30/2.51 dependent: clear(print_new_demod).
% 2.30/2.51 dependent: clear(print_back_demod).
% 2.30/2.51 dependent: clear(print_back_sub).
% 2.30/2.51 dependent: set(control_memory).
% 2.30/2.51 dependent: assign(max_mem, 12000).
% 2.30/2.51 dependent: assign(pick_given_ratio, 4).
% 2.30/2.51 dependent: assign(stats_level, 1).
% 2.30/2.51 dependent: assign(max_seconds, 10800).
% 2.30/2.51 clear(print_given).
% 2.30/2.51
% 2.30/2.51 formula_list(usable).
% 2.30/2.51 all A (A=A).
% 2.30/2.51 all A B C (coll(A,B,C)->coll(A,C,B)).
% 2.30/2.51 all A B C (coll(A,B,C)->coll(B,A,C)).
% 2.30/2.51 all A B C D (coll(A,B,C)&coll(A,B,D)->coll(C,D,A)).
% 2.30/2.51 all A B C D (para(A,B,C,D)->para(A,B,D,C)).
% 2.30/2.51 all A B C D (para(A,B,C,D)->para(C,D,A,B)).
% 2.30/2.51 all A B C D E F (para(A,B,C,D)¶(C,D,E,F)->para(A,B,E,F)).
% 2.30/2.51 all A B C D (perp(A,B,C,D)->perp(A,B,D,C)).
% 2.30/2.51 all A B C D (perp(A,B,C,D)->perp(C,D,A,B)).
% 2.30/2.51 all A B C D E F (perp(A,B,C,D)&perp(C,D,E,F)->para(A,B,E,F)).
% 2.30/2.51 all A B C D E F (para(A,B,C,D)&perp(C,D,E,F)->perp(A,B,E,F)).
% 2.30/2.51 all A B M (midp(M,B,A)->midp(M,A,B)).
% 2.30/2.51 all A B C O (cong(O,A,O,B)&cong(O,A,O,C)->circle(O,A,B,C)).
% 2.30/2.51 all A B C D O (cong(O,A,O,B)&cong(O,A,O,C)&cong(O,A,O,D)->cyclic(A,B,C,D)).
% 2.30/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(A,B,D,C)).
% 2.30/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(A,C,B,D)).
% 2.30/2.51 all A B C D (cyclic(A,B,C,D)->cyclic(B,A,C,D)).
% 2.30/2.51 all A B C D E (cyclic(A,B,C,D)&cyclic(A,B,C,E)->cyclic(B,C,D,E)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(B,A,C,D,P,Q,U,V)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(C,D,A,B,U,V,P,Q)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(P,Q,U,V,A,B,C,D)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)->e_qangle(A,B,P,Q,C,D,U,V)).
% 2.30/2.51 all A B C D P Q U V E F G H (e_qangle(A,B,C,D,P,Q,U,V)&e_qangle(P,Q,U,V,E,F,G,H)->e_qangle(A,B,C,D,E,F,G,H)).
% 2.30/2.51 all A B C D (cong(A,B,C,D)->cong(A,B,D,C)).
% 2.30/2.51 all A B C D (cong(A,B,C,D)->cong(C,D,A,B)).
% 2.30/2.51 all A B C D E F (cong(A,B,C,D)&cong(C,D,E,F)->cong(A,B,E,F)).
% 2.30/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(B,A,C,D,P,Q,U,V)).
% 2.30/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(C,D,A,B,U,V,P,Q)).
% 2.30/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(P,Q,U,V,A,B,C,D)).
% 2.30/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)->e_qratio(A,B,P,Q,C,D,U,V)).
% 2.30/2.51 all A B C D E F G H P Q U V (e_qratio(A,B,C,D,P,Q,U,V)&e_qratio(P,Q,U,V,E,F,G,H)->e_qratio(A,B,C,D,E,F,G,H)).
% 2.30/2.51 all A B C P Q R (simtri(A,C,B,P,R,Q)->simtri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (simtri(B,A,C,Q,P,R)->simtri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (simtri(P,Q,R,A,B,C)->simtri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C E F G P Q R (simtri(A,B,C,E,F,G)&simtri(E,F,G,P,Q,R)->simtri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (contri(A,C,B,P,R,Q)->contri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (contri(B,A,C,Q,P,R)->contri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (contri(P,Q,R,A,B,C)->contri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C E F G P Q R (contri(A,B,C,E,F,G)&contri(E,F,G,P,Q,R)->contri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C D P Q (e_qangle(A,B,P,Q,C,D,P,Q)->para(A,B,C,D)).
% 2.30/2.51 all A B C D P Q (para(A,B,C,D)->e_qangle(A,B,P,Q,C,D,P,Q)).
% 2.30/2.51 all A B P Q (cyclic(A,B,P,Q)->e_qangle(P,A,P,B,Q,A,Q,B)).
% 2.30/2.51 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)& -coll(P,Q,A)->cyclic(A,B,P,Q)).
% 2.30/2.51 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B)->cyclic(A,B,P,Q)).
% 2.30/2.51 all A B C P Q R (cyclic(A,B,C,P)&cyclic(A,B,C,Q)&cyclic(A,B,C,R)&e_qangle(C,A,C,B,R,P,R,Q)->cong(A,B,P,Q)).
% 2.30/2.51 all A B C E F (midp(E,A,B)&midp(F,A,C)->para(E,F,B,C)).
% 2.30/2.51 all A B C E F (midp(E,A,B)¶(E,F,B,C)&coll(F,A,C)->midp(F,A,C)).
% 2.30/2.51 all A B O (cong(O,A,O,B)->e_qangle(O,A,A,B,A,B,O,B)).
% 2.30/2.51 all A B O (e_qangle(O,A,A,B,A,B,O,B)& -coll(O,A,B)->cong(O,A,O,B)).
% 2.30/2.51 all A B C O X (circle(O,A,B,C)&perp(O,A,A,X)->e_qangle(A,X,A,B,C,A,C,B)).
% 2.30/2.51 all A B C O X (circle(O,A,B,C)&e_qangle(A,X,A,B,C,A,C,B)->perp(O,A,A,X)).
% 2.30/2.51 all A B C O M (circle(O,A,B,C)&midp(M,B,C)->e_qangle(A,B,A,C,O,B,O,M)).
% 2.30/2.51 all A B C O M (circle(O,A,B,C)&coll(M,B,C)&e_qangle(A,B,A,C,O,B,O,M)->midp(M,B,C)).
% 2.30/2.51 all A B C M (perp(A,B,B,C)&midp(M,A,C)->cong(A,M,B,M)).
% 2.30/2.51 all A B C O (circle(O,A,B,C)&coll(O,A,C)->perp(A,B,B,C)).
% 2.30/2.51 all A B C D (cyclic(A,B,C,D)¶(A,B,C,D)->e_qangle(A,D,C,D,C,D,C,B)).
% 2.30/2.51 all A B M O (midp(M,A,B)&perp(O,M,A,B)->cong(O,A,O,B)).
% 2.30/2.51 all A B P Q (cong(A,P,B,P)&cong(A,Q,B,Q)->perp(A,B,P,Q)).
% 2.30/2.51 all A B P Q (cong(A,P,B,P)&cong(A,Q,B,Q)&cyclic(A,B,P,Q)->perp(P,A,A,Q)).
% 2.30/2.51 all A B C P Q R (e_qangle(A,B,B,C,P,Q,Q,R)&e_qangle(A,C,B,C,P,R,Q,R)& -coll(A,B,C)->simtri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qratio(A,B,A,C,P,Q,P,R)).
% 2.30/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qangle(A,B,B,C,P,Q,Q,R)).
% 2.30/2.51 all A B C P Q R (simtri(A,B,C,P,Q,R)&cong(A,B,P,Q)->contri(A,B,C,P,Q,R)).
% 2.30/2.51 all A B C P Q R (contri(A,B,C,P,Q,R)->cong(A,B,P,Q)).
% 2.30/2.51 all A B C D M (midp(M,A,B)&midp(M,C,D)->para(A,C,B,D)).
% 2.30/2.51 all A B C D M (midp(M,A,B)¶(A,C,B,D)¶(A,D,B,C)->midp(M,C,D)).
% 2.30/2.51 all A B C D O (para(A,B,C,D)&coll(O,A,C)&coll(O,B,D)->e_qratio(O,A,A,C,O,B,B,D)).
% 2.30/2.51 all A B C (para(A,B,A,C)->coll(A,B,C)).
% 2.30/2.51 all A B C (cong(A,B,A,C)&coll(A,B,C)->midp(A,B,C)).
% 2.30/2.51 all A B C (midp(A,B,C)->cong(A,B,A,C)).
% 2.30/2.51 all A B C (midp(A,B,C)->coll(A,B,C)).
% 2.30/2.51 all A B C D M N (midp(M,A,B)&midp(N,C,D)->e_qratio(M,A,A,B,N,C,C,D)).
% 2.30/2.51 all A B C D (e_qangle(A,B,C,D,C,D,A,B)& -para(A,B,C,D)->perp(A,B,C,D)).
% 2.30/2.51 all A B C D (e_qangle(A,B,C,D,C,D,A,B)& -perp(A,B,C,D)->para(A,B,C,D)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V)->para(A,B,C,D)).
% 2.30/2.51 all A B C D P Q U V (e_qangle(A,B,C,D,P,Q,U,V)&perp(P,Q,U,V)->perp(A,B,C,D)).
% 2.30/2.51 all A B C D P Q U V (e_qratio(A,B,C,D,P,Q,U,V)&cong(P,Q,U,V)->cong(A,B,C,D)).
% 2.30/2.51 all A M O X exists B (perp(O,M,M,A)&e_qangle(X,O,M,O,M,O,A,O)->coll(B,A,M)&coll(B,O,X)).
% 2.30/2.51 all A B O X exists M (cong(O,A,O,B)&e_qangle(A,O,O,X,O,X,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.30/2.51 all A B O X exists M (perp(O,X,A,B)&e_qangle(A,O,O,X,O,X,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.30/2.51 all A B O X exists M (perp(O,X,A,B)&cong(O,A,O,B)->coll(B,A,M)&coll(M,O,X)).
% 2.30/2.51 all A B P X Y exists Q (e_qangle(A,P,B,P,A,X,B,Y)& -coll(A,B,P)->e_qangle(A,P,B,P,A,Q,B,Q)&cyclic(X,B,P,Q)).
% 2.30/2.51 all A B C D M N exists P (midp(M,A,B)&midp(N,C,D)->midp(P,A,D)¶(P,M,B,D)¶(P,N,A,C)).
% 2.30/2.51 all A B C D M N Q exists P (midp(M,A,B)&midp(N,C,D)&coll(C,A,B)&coll(D,A,B)->midp(P,A,Q)).
% 2.30/2.51 all A B M P Q R M exists X (midp(M,A,B)¶(A,P,R,M)¶(A,P,B,Q)&coll(P,Q,R)->coll(X,A,Q)&coll(X,M,R)).
% 2.30/2.51 all A B C D O exists P (cong(O,C,O,D)&perp(A,B,B,O)->cong(O,C,O,P)¶(P,C,A,B)&cong(B,C,B,P)).
% 2.30/2.51 all A B C H exists P Q (perp(A,H,B,C)&perp(B,H,A,C)->coll(P,C,B)&perp(A,P,C,B)&coll(Q,C,A)&perp(B,Q,C,A)).
% 2.30/2.51 all A B C O exists P (circle(O,A,B,C)->perp(P,A,A,O)).
% 2.30/2.51 all A B C D M N exists P Q (circle(M,A,B,C)&cong(M,A,M,D)&cong(N,A,N,B)&M!=N->coll(P,A,C)&cong(P,N,N,A)&coll(Q,B,D)&cong(Q,N,N,A)).
% 2.30/2.51 all A B C D M exists O (cyclic(A,B,C,D)¶(A,B,C,D)&midp(M,A,B)->circle(O,A,B,C)).
% 2.30/2.51 all A B C D exists O (perp(A,C,C,B)&cyclic(A,B,C,D)->circle(O,A,B,C)).
% 2.30/2.51 all A B C E F exists P (perp(A,C,C,B)&coll(B,E,F)->coll(P,E,F)&perp(P,A,E,F)).
% 2.30/2.51 all A B C D M exists P (perp(A,B,A,C)&perp(C,A,C,D)&midp(M,B,D)->midp(P,A,C)).
% 2.30/2.51 all A B O exists C (cong(O,A,O,B)&perp(A,O,O,B)->coll(A,O,C)&cong(O,A,O,C)).
% 2.30/2.51 all A B C D P Q exists R (para(A,B,C,D)&coll(P,A,C)&coll(P,B,D)&coll(Q,A,B)->coll(P,Q,R)&coll(R,C,D)).
% 2.30/2.51 -(all A B C I O M L1 NWPNT1 NWPNT2 (e_qangle(I,A,A,B,I,A,A,C)&e_qangle(I,B,B,C,I,B,B,A)&e_qangle(I,C,C,A,I,C,C,B)&circle(O,A,B,C)&circle(O,C,M,NWPNT1)&coll(M,C,I)&perp(B,I,B,L1)&circle(O,A,L1,NWPNT2)->para(M,L1,A,I))).
% 2.30/2.51 end_of_list.
% 2.30/2.51
% 2.30/2.51 -------> usable clausifies to:
% 2.30/2.51
% 2.30/2.51 list(usable).
% 2.30/2.51 0 [] A=A.
% 2.30/2.51 0 [] -coll(A,B,C)|coll(A,C,B).
% 2.30/2.51 0 [] -coll(A,B,C)|coll(B,A,C).
% 2.30/2.51 0 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.30/2.51 0 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.30/2.51 0 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.30/2.51 0 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.30/2.51 0 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.30/2.51 0 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.30/2.51 0 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.30/2.51 0 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.30/2.51 0 [] -midp(M,B,A)|midp(M,A,B).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)|circle(O,A,B,C).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)| -cong(O,A,O,D)|cyclic(A,B,C,D).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(B,A,C,D,P,Q,U,V).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(C,D,A,B,U,V,P,Q).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(P,Q,U,V,A,B,C,D).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(A,B,P,Q,C,D,U,V).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -e_qangle(P,Q,U,V,E,F,G,H)|e_qangle(A,B,C,D,E,F,G,H).
% 2.30/2.51 0 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.30/2.51 0 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.30/2.51 0 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(B,A,C,D,P,Q,U,V).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(C,D,A,B,U,V,P,Q).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(P,Q,U,V,A,B,C,D).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(A,B,P,Q,C,D,U,V).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)| -e_qratio(P,Q,U,V,E,F,G,H)|e_qratio(A,B,C,D,E,F,G,H).
% 2.30/2.51 0 [] -simtri(A,C,B,P,R,Q)|simtri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -simtri(B,A,C,Q,P,R)|simtri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -simtri(P,Q,R,A,B,C)|simtri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -simtri(A,B,C,E,F,G)| -simtri(E,F,G,P,Q,R)|simtri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -contri(A,C,B,P,R,Q)|contri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -contri(B,A,C,Q,P,R)|contri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -contri(P,Q,R,A,B,C)|contri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -contri(A,B,C,E,F,G)| -contri(E,F,G,P,Q,R)|contri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -e_qangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D).
% 2.30/2.51 0 [] -para(A,B,C,D)|e_qangle(A,B,P,Q,C,D,P,Q).
% 2.30/2.51 0 [] -cyclic(A,B,P,Q)|e_qangle(P,A,P,B,Q,A,Q,B).
% 2.30/2.51 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A)|cyclic(A,B,P,Q).
% 2.30/2.51 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)| -coll(P,Q,B)|cyclic(A,B,P,Q).
% 2.30/2.51 0 [] -cyclic(A,B,C,P)| -cyclic(A,B,C,Q)| -cyclic(A,B,C,R)| -e_qangle(C,A,C,B,R,P,R,Q)|cong(A,B,P,Q).
% 2.30/2.51 0 [] -midp(E,A,B)| -midp(F,A,C)|para(E,F,B,C).
% 2.30/2.51 0 [] -midp(E,A,B)| -para(E,F,B,C)| -coll(F,A,C)|midp(F,A,C).
% 2.30/2.51 0 [] -cong(O,A,O,B)|e_qangle(O,A,A,B,A,B,O,B).
% 2.30/2.51 0 [] -e_qangle(O,A,A,B,A,B,O,B)|coll(O,A,B)|cong(O,A,O,B).
% 2.30/2.51 0 [] -circle(O,A,B,C)| -perp(O,A,A,X)|e_qangle(A,X,A,B,C,A,C,B).
% 2.30/2.51 0 [] -circle(O,A,B,C)| -e_qangle(A,X,A,B,C,A,C,B)|perp(O,A,A,X).
% 2.30/2.51 0 [] -circle(O,A,B,C)| -midp(M,B,C)|e_qangle(A,B,A,C,O,B,O,M).
% 2.30/2.51 0 [] -circle(O,A,B,C)| -coll(M,B,C)| -e_qangle(A,B,A,C,O,B,O,M)|midp(M,B,C).
% 2.30/2.51 0 [] -perp(A,B,B,C)| -midp(M,A,C)|cong(A,M,B,M).
% 2.30/2.51 0 [] -circle(O,A,B,C)| -coll(O,A,C)|perp(A,B,B,C).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)|e_qangle(A,D,C,D,C,D,C,B).
% 2.30/2.51 0 [] -midp(M,A,B)| -perp(O,M,A,B)|cong(O,A,O,B).
% 2.30/2.51 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)|perp(A,B,P,Q).
% 2.30/2.51 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)| -cyclic(A,B,P,Q)|perp(P,A,A,Q).
% 2.30/2.51 0 [] -e_qangle(A,B,B,C,P,Q,Q,R)| -e_qangle(A,C,B,C,P,R,Q,R)|coll(A,B,C)|simtri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -simtri(A,B,C,P,Q,R)|e_qratio(A,B,A,C,P,Q,P,R).
% 2.30/2.51 0 [] -simtri(A,B,C,P,Q,R)|e_qangle(A,B,B,C,P,Q,Q,R).
% 2.30/2.51 0 [] -simtri(A,B,C,P,Q,R)| -cong(A,B,P,Q)|contri(A,B,C,P,Q,R).
% 2.30/2.51 0 [] -contri(A,B,C,P,Q,R)|cong(A,B,P,Q).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(M,C,D)|para(A,C,B,D).
% 2.30/2.51 0 [] -midp(M,A,B)| -para(A,C,B,D)| -para(A,D,B,C)|midp(M,C,D).
% 2.30/2.51 0 [] -para(A,B,C,D)| -coll(O,A,C)| -coll(O,B,D)|e_qratio(O,A,A,C,O,B,B,D).
% 2.30/2.51 0 [] -para(A,B,A,C)|coll(A,B,C).
% 2.30/2.51 0 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.30/2.51 0 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.30/2.51 0 [] -midp(A,B,C)|coll(A,B,C).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|e_qratio(M,A,A,B,N,C,C,D).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,C,D,A,B)|para(A,B,C,D)|perp(A,B,C,D).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -para(P,Q,U,V)|para(A,B,C,D).
% 2.30/2.51 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -perp(P,Q,U,V)|perp(A,B,C,D).
% 2.30/2.51 0 [] -e_qratio(A,B,C,D,P,Q,U,V)| -cong(P,Q,U,V)|cong(A,B,C,D).
% 2.30/2.51 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),A,M).
% 2.30/2.51 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),O,X).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f2(A,B,O,X)).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f2(A,B,O,X),O,X).
% 2.30/2.51 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f3(A,B,O,X)).
% 2.30/2.51 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f3(A,B,O,X),O,X).
% 2.30/2.51 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll(B,A,$f4(A,B,O,X)).
% 2.30/2.51 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll($f4(A,B,O,X),O,X).
% 2.30/2.51 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|e_qangle(A,P,B,P,A,$f5(A,B,P,X,Y),B,$f5(A,B,P,X,Y)).
% 2.30/2.51 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|cyclic(X,B,P,$f5(A,B,P,X,Y)).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|midp($f6(A,B,C,D,M,N),A,D).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),M,B,D).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),N,A,C).
% 2.30/2.51 0 [] -midp(M,A,B)| -midp(N,C,D)| -coll(C,A,B)| -coll(D,A,B)|midp($f7(A,B,C,D,M,N,Q),A,Q).
% 2.30/2.51 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),A,Q).
% 2.30/2.51 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),X1,R).
% 2.30/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(O,C,O,$f9(A,B,C,D,O)).
% 2.30/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|para($f9(A,B,C,D,O),C,A,B).
% 2.30/2.51 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(B,C,B,$f9(A,B,C,D,O)).
% 2.30/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f11(A,B,C,H),C,B).
% 2.30/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(A,$f11(A,B,C,H),C,B).
% 2.30/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f10(A,B,C,H),C,A).
% 2.30/2.51 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(B,$f10(A,B,C,H),C,A).
% 2.30/2.51 0 [] -circle(O,A,B,C)|perp($f12(A,B,C,O),A,A,O).
% 2.30/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f14(A,B,C,D,M,N),A,C).
% 2.30/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f14(A,B,C,D,M,N),N,N,A).
% 2.30/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f13(A,B,C,D,M,N),B,D).
% 2.30/2.51 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f13(A,B,C,D,M,N),N,N,A).
% 2.30/2.51 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(M,A,B)|circle($f15(A,B,C,D,M),A,B,C).
% 2.30/2.51 0 [] -perp(A,C,C,B)| -cyclic(A,B,C,D)|circle($f16(A,B,C,D),A,B,C).
% 2.30/2.51 0 [] -perp(A,C,C,B)| -coll(B,E,F)|coll($f17(A,B,C,E,F),E,F).
% 2.30/2.51 0 [] -perp(A,C,C,B)| -coll(B,E,F)|perp($f17(A,B,C,E,F),A,E,F).
% 2.30/2.51 0 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(M,B,D)|midp($f18(A,B,C,D,M),A,C).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|coll(A,O,$f19(A,B,O)).
% 2.30/2.51 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|cong(O,A,O,$f19(A,B,O)).
% 2.30/2.51 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll(P,Q,$f20(A,B,C,D,P,Q)).
% 2.30/2.51 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll($f20(A,B,C,D,P,Q),C,D).
% 2.30/2.51 0 [] e_qangle($c6,$c9,$c9,$c8,$c6,$c9,$c9,$c7).
% 2.30/2.51 0 [] e_qangle($c6,$c8,$c8,$c7,$c6,$c8,$c8,$c9).
% 2.30/2.51 0 [] e_qangle($c6,$c7,$c7,$c9,$c6,$c7,$c7,$c8).
% 2.30/2.51 0 [] circle($c5,$c9,$c8,$c7).
% 2.30/2.51 0 [] circle($c5,$c7,$c4,$c2).
% 2.30/2.51 0 [] coll($c4,$c7,$c6).
% 2.30/2.51 0 [] perp($c8,$c6,$c8,$c3).
% 2.30/2.51 0 [] circle($c5,$c9,$c3,$c1).
% 2.30/2.51 0 [] -para($c4,$c3,$c9,$c6).
% 2.30/2.51 end_of_list.
% 2.30/2.51
% 2.30/2.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.30/2.51
% 2.30/2.51 This ia a non-Horn set with equality. The strategy will be
% 2.30/2.51 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.30/2.51 deletion, with positive clauses in sos and nonpositive
% 2.30/2.51 clauses in usable.
% 2.30/2.51
% 2.30/2.51 dependent: set(knuth_bendix).
% 2.30/2.51 dependent: set(anl_eq).
% 2.30/2.51 dependent: set(para_from).
% 2.30/2.51 dependent: set(para_into).
% 2.30/2.51 dependent: clear(para_from_right).
% 2.30/2.51 dependent: clear(para_into_right).
% 2.30/2.51 dependent: set(para_from_vars).
% 2.30/2.51 dependent: set(eq_units_both_ways).
% 2.30/2.51 dependent: set(dynamic_demod_all).
% 2.30/2.51 dependent: set(dynamic_demod).
% 2.30/2.51 dependent: set(order_eq).
% 2.30/2.51 dependent: set(back_demod).
% 2.30/2.51 dependent: set(lrpo).
% 2.30/2.51 dependent: set(hyper_res).
% 2.30/2.51 dependent: set(unit_deletion).
% 2.30/2.51 dependent: set(factor).
% 2.30/2.51
% 2.30/2.51 ------------> process usable:
% 2.30/2.51 ** KEPT (pick-wt=8): 1 [] -coll(A,B,C)|coll(A,C,B).
% 2.30/2.51 ** KEPT (pick-wt=8): 2 [] -coll(A,B,C)|coll(B,A,C).
% 2.30/2.51 ** KEPT (pick-wt=12): 3 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.30/2.51 ** KEPT (pick-wt=10): 4 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.30/2.51 ** KEPT (pick-wt=10): 5 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.30/2.51 ** KEPT (pick-wt=15): 6 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.30/2.51 ** KEPT (pick-wt=10): 7 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.30/2.51 ** KEPT (pick-wt=10): 8 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.30/2.51 ** KEPT (pick-wt=15): 9 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.30/2.51 ** KEPT (pick-wt=15): 10 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.30/2.51 ** KEPT (pick-wt=8): 11 [] -midp(A,B,C)|midp(A,C,B).
% 2.30/2.51 ** KEPT (pick-wt=15): 12 [] -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 2.30/2.51 ** KEPT (pick-wt=20): 13 [] -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 2.30/2.51 ** KEPT (pick-wt=10): 14 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.30/2.51 ** KEPT (pick-wt=10): 15 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.30/2.52 ** KEPT (pick-wt=10): 16 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.30/2.52 ** KEPT (pick-wt=15): 17 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.30/2.52 ** KEPT (pick-wt=18): 18 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(B,A,C,D,E,F,G,H).
% 2.30/2.52 ** KEPT (pick-wt=18): 19 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(C,D,A,B,G,H,E,F).
% 2.30/2.52 ** KEPT (pick-wt=18): 20 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(E,F,G,H,A,B,C,D).
% 2.30/2.52 ** KEPT (pick-wt=18): 21 [] -e_qangle(A,B,C,D,E,F,G,H)|e_qangle(A,B,E,F,C,D,G,H).
% 2.30/2.52 ** KEPT (pick-wt=27): 22 [] -e_qangle(A,B,C,D,E,F,G,H)| -e_qangle(E,F,G,H,I,J,K,L)|e_qangle(A,B,C,D,I,J,K,L).
% 2.30/2.52 ** KEPT (pick-wt=10): 23 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.30/2.52 ** KEPT (pick-wt=10): 24 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.30/2.52 ** KEPT (pick-wt=15): 25 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.30/2.52 ** KEPT (pick-wt=18): 26 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(B,A,C,D,E,F,G,H).
% 2.30/2.52 ** KEPT (pick-wt=18): 27 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(C,D,A,B,G,H,E,F).
% 2.30/2.52 ** KEPT (pick-wt=18): 28 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(E,F,G,H,A,B,C,D).
% 2.30/2.52 ** KEPT (pick-wt=18): 29 [] -e_qratio(A,B,C,D,E,F,G,H)|e_qratio(A,B,E,F,C,D,G,H).
% 2.30/2.52 ** KEPT (pick-wt=27): 30 [] -e_qratio(A,B,C,D,E,F,G,H)| -e_qratio(E,F,G,H,I,J,K,L)|e_qratio(A,B,C,D,I,J,K,L).
% 2.30/2.52 ** KEPT (pick-wt=14): 31 [] -simtri(A,B,C,D,E,F)|simtri(A,C,B,D,F,E).
% 2.30/2.52 ** KEPT (pick-wt=14): 32 [] -simtri(A,B,C,D,E,F)|simtri(B,A,C,E,D,F).
% 2.30/2.52 ** KEPT (pick-wt=14): 33 [] -simtri(A,B,C,D,E,F)|simtri(D,E,F,A,B,C).
% 2.30/2.52 ** KEPT (pick-wt=21): 34 [] -simtri(A,B,C,D,E,F)| -simtri(D,E,F,G,H,I)|simtri(A,B,C,G,H,I).
% 2.30/2.52 ** KEPT (pick-wt=14): 35 [] -contri(A,B,C,D,E,F)|contri(A,C,B,D,F,E).
% 2.30/2.52 ** KEPT (pick-wt=14): 36 [] -contri(A,B,C,D,E,F)|contri(B,A,C,E,D,F).
% 2.30/2.52 ** KEPT (pick-wt=14): 37 [] -contri(A,B,C,D,E,F)|contri(D,E,F,A,B,C).
% 2.30/2.52 ** KEPT (pick-wt=21): 38 [] -contri(A,B,C,D,E,F)| -contri(D,E,F,G,H,I)|contri(A,B,C,G,H,I).
% 2.30/2.52 ** KEPT (pick-wt=14): 39 [] -e_qangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 2.30/2.52 ** KEPT (pick-wt=14): 40 [] -para(A,B,C,D)|e_qangle(A,B,E,F,C,D,E,F).
% 2.30/2.52 ** KEPT (pick-wt=14): 41 [] -cyclic(A,B,C,D)|e_qangle(C,A,C,B,D,A,D,B).
% 2.30/2.52 ** KEPT (pick-wt=18): 42 [] -e_qangle(A,B,A,C,D,B,D,C)|coll(A,D,B)|cyclic(B,C,A,D).
% 2.30/2.52 ** KEPT (pick-wt=18): 43 [] -e_qangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 2.30/2.52 ** KEPT (pick-wt=29): 44 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -e_qangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 2.30/2.52 ** KEPT (pick-wt=13): 45 [] -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 2.30/2.52 ** KEPT (pick-wt=17): 46 [] -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 2.30/2.52 ** KEPT (pick-wt=14): 47 [] -cong(A,B,A,C)|e_qangle(A,B,B,C,B,C,A,C).
% 2.30/2.52 ** KEPT (pick-wt=18): 48 [] -e_qangle(A,B,B,C,B,C,A,C)|coll(A,B,C)|cong(A,B,A,C).
% 2.30/2.52 ** KEPT (pick-wt=19): 49 [] -circle(A,B,C,D)| -perp(A,B,B,E)|e_qangle(B,E,B,C,D,B,D,C).
% 2.30/2.52 ** KEPT (pick-wt=19): 50 [] -circle(A,B,C,D)| -e_qangle(B,E,B,C,D,B,D,C)|perp(A,B,B,E).
% 2.30/2.52 ** KEPT (pick-wt=18): 51 [] -circle(A,B,C,D)| -midp(E,C,D)|e_qangle(B,C,B,D,A,C,A,E).
% 2.30/2.52 ** KEPT (pick-wt=22): 52 [] -circle(A,B,C,D)| -coll(E,C,D)| -e_qangle(B,C,B,D,A,C,A,E)|midp(E,C,D).
% 2.30/2.52 ** KEPT (pick-wt=14): 53 [] -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 2.30/2.52 ** KEPT (pick-wt=14): 54 [] -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 2.30/2.52 ** KEPT (pick-wt=19): 55 [] -cyclic(A,B,C,D)| -para(A,B,C,D)|e_qangle(A,D,C,D,C,D,C,B).
% 2.30/2.52 ** KEPT (pick-wt=14): 56 [] -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 2.30/2.52 ** KEPT (pick-wt=15): 57 [] -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 2.30/2.52 ** KEPT (pick-wt=20): 58 [] -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 2.30/2.52 ** KEPT (pick-wt=29): 59 [] -e_qangle(A,B,B,C,D,E,E,F)| -e_qangle(A,C,B,C,D,F,E,F)|coll(A,B,C)|simtri(A,B,C,D,E,F).
% 2.30/2.52 ** KEPT (pick-wt=16): 60 [] -simtri(A,B,C,D,E,F)|e_qratio(A,B,A,C,D,E,D,F).
% 2.30/2.52 ** KEPT (pick-wt=16): 61 [] -simtri(A,B,C,D,E,F)|e_qangle(A,B,B,C,D,E,E,F).
% 2.30/2.52 ** KEPT (pick-wt=19): 62 [] -simtri(A,B,C,D,E,F)| -cong(A,B,D,E)|contri(A,B,C,D,E,F).
% 2.30/2.52 ** KEPT (pick-wt=12): 63 [] -contri(A,B,C,D,E,F)|cong(A,B,D,E).
% 2.30/2.52 ** KEPT (pick-wt=13): 64 [] -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 2.30/2.52 ** KEPT (pick-wt=18): 65 [] -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 2.30/2.52 ** KEPT (pick-wt=22): 66 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)|e_qratio(E,A,A,C,E,B,B,D).
% 2.36/2.52 ** KEPT (pick-wt=9): 67 [] -para(A,B,A,C)|coll(A,B,C).
% 2.36/2.52 ** KEPT (pick-wt=13): 68 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.36/2.52 ** KEPT (pick-wt=9): 69 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.36/2.52 ** KEPT (pick-wt=8): 70 [] -midp(A,B,C)|coll(A,B,C).
% 2.36/2.52 ** KEPT (pick-wt=17): 71 [] -midp(A,B,C)| -midp(D,E,F)|e_qratio(A,B,B,C,D,E,E,F).
% 2.36/2.52 ** KEPT (pick-wt=19): 72 [] -e_qangle(A,B,C,D,C,D,A,B)|para(A,B,C,D)|perp(A,B,C,D).
% 2.36/2.52 Following clause subsumed by 72 during input processing: 0 [] -e_qangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 2.36/2.52 ** KEPT (pick-wt=19): 73 [] -e_qangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 2.36/2.52 ** KEPT (pick-wt=19): 74 [] -e_qangle(A,B,C,D,E,F,G,H)| -perp(E,F,G,H)|perp(A,B,C,D).
% 2.36/2.52 ** KEPT (pick-wt=19): 75 [] -e_qratio(A,B,C,D,E,F,G,H)| -cong(E,F,G,H)|cong(A,B,C,D).
% 2.36/2.52 ** KEPT (pick-wt=22): 76 [] -perp(A,B,B,C)| -e_qangle(D,A,B,A,B,A,C,A)|coll($f1(C,B,A,D),C,B).
% 2.36/2.52 ** KEPT (pick-wt=22): 77 [] -perp(A,B,B,C)| -e_qangle(D,A,B,A,B,A,C,A)|coll($f1(C,B,A,D),A,D).
% 2.36/2.52 ** KEPT (pick-wt=22): 78 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll(C,B,$f2(B,C,A,D)).
% 2.36/2.52 ** KEPT (pick-wt=22): 79 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll($f2(B,C,A,D),A,D).
% 2.36/2.52 ** KEPT (pick-wt=22): 80 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll(D,C,$f3(C,D,A,B)).
% 2.36/2.52 ** KEPT (pick-wt=22): 81 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll($f3(C,D,A,B),A,B).
% 2.36/2.52 ** KEPT (pick-wt=18): 82 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll(D,C,$f4(C,D,A,B)).
% 2.36/2.52 ** KEPT (pick-wt=18): 83 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll($f4(C,D,A,B),A,B).
% 2.36/2.52 ** KEPT (pick-wt=32): 84 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|e_qangle(A,B,C,B,A,$f5(A,C,B,D,E),C,$f5(A,C,B,D,E)).
% 2.36/2.52 ** KEPT (pick-wt=23): 85 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|cyclic(D,C,B,$f5(A,C,B,D,E)).
% 2.36/2.52 ** KEPT (pick-wt=18): 86 [] -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 2.36/2.52 ** KEPT (pick-wt=19): 87 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),A,C,F).
% 2.36/2.52 ** KEPT (pick-wt=19): 88 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),D,B,E).
% 2.36/2.52 ** KEPT (pick-wt=27): 89 [] -midp(A,B,C)| -midp(D,E,F)| -coll(E,B,C)| -coll(F,B,C)|midp($f7(B,C,E,F,A,D,G),B,G).
% 2.36/2.52 ** KEPT (pick-wt=29): 90 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),B,F).
% 2.36/2.52 ** KEPT (pick-wt=29): 91 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),A,E).
% 2.36/2.52 ** KEPT (pick-wt=20): 92 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(A,B,A,$f9(D,E,B,C,A)).
% 2.36/2.52 ** KEPT (pick-wt=20): 93 [] -cong(A,B,A,C)| -perp(D,E,E,A)|para($f9(D,E,B,C,A),B,D,E).
% 2.36/2.52 ** KEPT (pick-wt=20): 94 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(E,B,E,$f9(D,E,B,C,A)).
% 2.36/2.52 ** KEPT (pick-wt=18): 95 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f11(A,C,D,B),D,C).
% 2.36/2.52 ** KEPT (pick-wt=19): 96 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(A,$f11(A,C,D,B),D,C).
% 2.36/2.52 ** KEPT (pick-wt=18): 97 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f10(A,C,D,B),D,A).
% 2.36/2.52 ** KEPT (pick-wt=19): 98 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(C,$f10(A,C,D,B),D,A).
% 2.36/2.52 ** KEPT (pick-wt=14): 99 [] -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 2.36/2.52 ** KEPT (pick-wt=28): 100 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f14(B,C,D,E,A,F),B,D).
% 2.36/2.52 ** KEPT (pick-wt=29): 101 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f14(B,C,D,E,A,F),F,F,B).
% 2.36/2.52 ** KEPT (pick-wt=28): 102 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f13(B,C,D,E,A,F),C,E).
% 2.36/2.52 ** KEPT (pick-wt=29): 103 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f13(B,C,D,E,A,F),F,F,B).
% 2.36/2.52 ** KEPT (pick-wt=24): 104 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(E,A,B)|circle($f15(A,B,C,D,E),A,B,C).
% 2.36/2.52 ** KEPT (pick-wt=19): 105 [] -perp(A,B,B,C)| -cyclic(A,C,B,D)|circle($f16(A,C,B,D),A,C,B).
% 2.36/2.52 ** KEPT (pick-wt=18): 106 [] -perp(A,B,B,C)| -coll(C,D,E)|coll($f17(A,C,B,D,E),D,E).
% 2.36/2.52 ** KEPT (pick-wt=19): 107 [] -perp(A,B,B,C)| -coll(C,D,E)|perp($f17(A,C,B,D,E),A,D,E).
% 2.36/2.52 ** KEPT (pick-wt=23): 108 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(E,B,D)|midp($f18(A,B,C,D,E),A,C).
% 2.36/2.52 ** KEPT (pick-wt=17): 109 [] -cong(A,B,A,C)| -perp(B,A,A,C)|coll(B,A,$f19(B,C,A)).
% 2.36/2.52 ** KEPT (pick-wt=18): 110 [] -cong(A,B,A,C)| -perp(B,A,A,C)|cong(A,B,A,$f19(B,C,A)).
% 49.68/49.86 ** KEPT (pick-wt=27): 111 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll(E,F,$f20(A,B,C,D,E,F)).
% 49.68/49.86 ** KEPT (pick-wt=27): 112 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll($f20(A,B,C,D,E,F),C,D).
% 49.68/49.86 ** KEPT (pick-wt=5): 113 [] -para($c4,$c3,$c9,$c6).
% 49.68/49.86
% 49.68/49.86 ------------> process sos:
% 49.68/49.86 ** KEPT (pick-wt=3): 159 [] A=A.
% 49.68/49.86 ** KEPT (pick-wt=9): 160 [] e_qangle($c6,$c9,$c9,$c8,$c6,$c9,$c9,$c7).
% 49.68/49.86 ** KEPT (pick-wt=9): 161 [] e_qangle($c6,$c8,$c8,$c7,$c6,$c8,$c8,$c9).
% 49.68/49.86 ** KEPT (pick-wt=9): 162 [] e_qangle($c6,$c7,$c7,$c9,$c6,$c7,$c7,$c8).
% 49.68/49.86 ** KEPT (pick-wt=5): 163 [] circle($c5,$c9,$c8,$c7).
% 49.68/49.86 ** KEPT (pick-wt=5): 164 [] circle($c5,$c7,$c4,$c2).
% 49.68/49.86 ** KEPT (pick-wt=4): 165 [] coll($c4,$c7,$c6).
% 49.68/49.86 ** KEPT (pick-wt=5): 166 [] perp($c8,$c6,$c8,$c3).
% 49.68/49.86 ** KEPT (pick-wt=5): 167 [] circle($c5,$c9,$c3,$c1).
% 49.68/49.86 Following clause subsumed by 159 during input processing: 0 [copy,159,flip.1] A=A.
% 49.68/49.86 159 back subsumes 146.
% 49.68/49.86 159 back subsumes 145.
% 49.68/49.86 159 back subsumes 144.
% 49.68/49.86 159 back subsumes 143.
% 49.68/49.86
% 49.68/49.86 ======= end of input processing =======
% 49.68/49.86
% 49.68/49.86 =========== start of search ===========
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 29.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 29.
% 49.68/49.86
% 49.68/49.86 sos_size=1054
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 10.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 10.
% 49.68/49.86
% 49.68/49.86 sos_size=1267
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 9.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 9.
% 49.68/49.86
% 49.68/49.86 sos_size=1330
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 8.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 8.
% 49.68/49.86
% 49.68/49.86 sos_size=1433
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 5.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Resetting weight limit to 5.
% 49.68/49.86
% 49.68/49.86 sos_size=1152
% 49.68/49.86
% 49.68/49.86 -- HEY sandbox, WE HAVE A PROOF!! --
% 49.68/49.86
% 49.68/49.86 ----> UNIT CONFLICT at 47.35 sec ----> 7679 [binary,7678.1,113.1] $F.
% 49.68/49.86
% 49.68/49.86 Length of proof is 129. Level of proof is 20.
% 49.68/49.86
% 49.68/49.86 ---------------- PROOF ----------------
% 49.68/49.86 % SZS status Theorem
% 49.68/49.86 % SZS output start Refutation
% See solution above
% 49.68/49.86 ------------ end of proof -------------
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Search stopped by max_proofs option.
% 49.68/49.86
% 49.68/49.86
% 49.68/49.86 Search stopped by max_proofs option.
% 49.68/49.86
% 49.68/49.86 ============ end of search ============
% 49.68/49.86
% 49.68/49.86 -------------- statistics -------------
% 49.68/49.86 clauses given 6493
% 49.68/49.86 clauses generated 2934757
% 49.68/49.86 clauses kept 7678
% 49.68/49.86 clauses forward subsumed 123312
% 49.68/49.86 clauses back subsumed 4
% 49.68/49.86 Kbytes malloced 7812
% 49.68/49.86
% 49.68/49.86 ----------- times (seconds) -----------
% 49.68/49.86 user CPU time 47.35 (0 hr, 0 min, 47 sec)
% 49.68/49.86 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 49.68/49.86 wall-clock time 49 (0 hr, 0 min, 49 sec)
% 49.68/49.86
% 49.68/49.86 That finishes the proof of the theorem.
% 49.68/49.86
% 49.68/49.86 Process 30763 finished Wed Jul 27 07:43:28 2022
% 49.68/49.86 Otter interrupted
% 49.68/49.86 PROOF FOUND
%------------------------------------------------------------------------------