TSTP Solution File: GEO618+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 12:55:36 EDT 2022
% Result : Theorem 13.67s 13.81s
% Output : Refutation 13.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 33
% Syntax : Number of clauses : 126 ( 94 unt; 0 nHn; 124 RR)
% Number of literals : 178 ( 0 equ; 53 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 : 151 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ coll(A,B,C)
| coll(A,C,B) ),
file('GEO618+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ coll(A,B,C)
| coll(B,A,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
file('GEO618+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
file('GEO618+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
file('GEO618+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
file('GEO618+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
file('GEO618+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(A,B,C)
| midp(A,C,B) ),
file('GEO618+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
file('GEO618+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('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
file('GEO618+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ e_qangle(A,B,C,D,E,F,C,D)
| para(A,B,E,F) ),
file('GEO618+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(A,B,C,D)
| e_qangle(A,B,E,F,C,D,E,F) ),
file('GEO618+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('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ midp(A,B,C)
| ~ midp(D,B,E)
| para(A,D,C,E) ),
file('GEO618+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ midp(A,B,C)
| ~ para(A,D,C,E)
| ~ coll(D,B,E)
| midp(D,B,E) ),
file('GEO618+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ midp(A,B,C)
| ~ perp(D,A,B,C)
| cong(D,B,D,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ midp(A,B,C)
| ~ midp(A,D,E)
| para(B,D,C,E) ),
file('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ cong(A,B,A,C)
| ~ coll(A,B,C)
| midp(A,B,C) ),
file('GEO618+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
file('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(113,axiom,
~ cong(dollar_c1,dollar_c6,dollar_c1,dollar_c3),
file('GEO618+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(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(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_c3,dollar_c6,dollar_c6,dollar_c4,dollar_c3,dollar_c6,dollar_c6,dollar_c5),
file('GEO618+1.p',unknown),
[] ).
cnf(161,axiom,
coll(dollar_c3,dollar_c5,dollar_c4),
file('GEO618+1.p',unknown),
[] ).
cnf(163,axiom,
perp(dollar_c6,dollar_c2,dollar_c6,dollar_c1),
file('GEO618+1.p',unknown),
[] ).
cnf(164,axiom,
coll(dollar_c1,dollar_c5,dollar_c4),
file('GEO618+1.p',unknown),
[] ).
cnf(165,plain,
coll(dollar_c4,dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[161,114]),
[iquote('hyper,161,114')] ).
cnf(180,plain,
coll(dollar_c4,dollar_c4,dollar_c1),
inference(hyper,[status(thm)],[164,114]),
[iquote('hyper,164,114')] ).
cnf(195,plain,
coll(dollar_c3,dollar_c3,dollar_c4),
inference(hyper,[status(thm)],[165,114]),
[iquote('hyper,165,114')] ).
cnf(223,plain,
e_qangle(dollar_c3,dollar_c6,dollar_c3,dollar_c6,dollar_c6,dollar_c4,dollar_c6,dollar_c5),
inference(hyper,[status(thm)],[160,21]),
[iquote('hyper,160,21')] ).
cnf(225,plain,
e_qangle(dollar_c6,dollar_c4,dollar_c3,dollar_c6,dollar_c6,dollar_c5,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[160,19]),
[iquote('hyper,160,19')] ).
cnf(273,plain,
coll(dollar_c1,dollar_c1,dollar_c4),
inference(hyper,[status(thm)],[180,114]),
[iquote('hyper,180,114')] ).
cnf(274,plain,
coll(dollar_c3,dollar_c1,dollar_c4),
inference(hyper,[status(thm)],[180,3,165]),
[iquote('hyper,180,3,165')] ).
cnf(275,plain,
coll(dollar_c1,dollar_c3,dollar_c4),
inference(hyper,[status(thm)],[180,3,165]),
[iquote('hyper,180,3,165')] ).
cnf(333,plain,
coll(dollar_c3,dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[195,1]),
[iquote('hyper,195,1')] ).
cnf(392,plain,
perp(dollar_c6,dollar_c1,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[163,8]),
[iquote('hyper,163,8')] ).
cnf(393,plain,
perp(dollar_c6,dollar_c2,dollar_c1,dollar_c6),
inference(hyper,[status(thm)],[163,7]),
[iquote('hyper,163,7')] ).
cnf(436,plain,
coll(dollar_c1,dollar_c4,dollar_c1),
inference(hyper,[status(thm)],[273,1]),
[iquote('hyper,273,1')] ).
cnf(449,plain,
coll(dollar_c3,dollar_c4,dollar_c1),
inference(hyper,[status(thm)],[274,1]),
[iquote('hyper,274,1')] ).
cnf(568,plain,
coll(dollar_c1,dollar_c4,dollar_c3),
inference(hyper,[status(thm)],[275,1]),
[iquote('hyper,275,1')] ).
cnf(1093,plain,
coll(dollar_c1,dollar_c1,dollar_c3),
inference(hyper,[status(thm)],[449,114]),
[iquote('hyper,449,114')] ).
cnf(1095,plain,
coll(dollar_c3,dollar_c1,dollar_c3),
inference(hyper,[status(thm)],[449,3,333]),
[iquote('hyper,449,3,333')] ).
cnf(1179,plain,
coll(dollar_c3,dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[568,3,436]),
[iquote('hyper,568,3,436')] ).
cnf(1470,plain,
para(dollar_c6,dollar_c2,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[392,9,163]),
[iquote('hyper,392,9,163')] ).
cnf(1471,plain,
para(dollar_c6,dollar_c1,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[392,9,163]),
[iquote('hyper,392,9,163')] ).
cnf(1472,plain,
perp(dollar_c6,dollar_c1,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[392,7]),
[iquote('hyper,392,7')] ).
cnf(1473,plain,
para(dollar_c6,dollar_c1,dollar_c1,dollar_c6),
inference(hyper,[status(thm)],[393,9,392]),
[iquote('hyper,393,9,392')] ).
cnf(1474,plain,
perp(dollar_c1,dollar_c6,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[393,8]),
[iquote('hyper,393,8')] ).
cnf(1475,plain,
coll(dollar_c6,dollar_c2,dollar_c2),
inference(hyper,[status(thm)],[1470,67]),
[iquote('hyper,1470,67')] ).
cnf(1476,plain,
e_qangle(dollar_c6,dollar_c2,A,B,dollar_c6,dollar_c2,A,B),
inference(hyper,[status(thm)],[1470,40]),
[iquote('hyper,1470,40')] ).
cnf(1477,plain,
para(dollar_c6,dollar_c2,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1470,4]),
[iquote('hyper,1470,4')] ).
cnf(1478,plain,
coll(dollar_c2,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1475,114]),
[iquote('hyper,1475,114')] ).
cnf(1479,plain,
coll(dollar_c2,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[1475,2]),
[iquote('hyper,1475,2')] ).
cnf(1486,plain,
coll(dollar_c6,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[1478,114]),
[iquote('hyper,1478,114')] ).
cnf(1500,plain,
coll(dollar_c6,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1486,1]),
[iquote('hyper,1486,1')] ).
cnf(1513,plain,
coll(dollar_c6,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[1500,114]),
[iquote('hyper,1500,114')] ).
cnf(1514,plain,
coll(dollar_c2,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[1500,3,1475]),
[iquote('hyper,1500,3,1475')] ).
cnf(1543,plain,
coll(dollar_c6,dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[1471,67]),
[iquote('hyper,1471,67')] ).
cnf(1545,plain,
coll(dollar_c1,dollar_c1,dollar_c6),
inference(hyper,[status(thm)],[1543,114]),
[iquote('hyper,1543,114')] ).
cnf(1554,plain,
coll(dollar_c6,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[1545,114]),
[iquote('hyper,1545,114')] ).
cnf(1555,plain,
coll(dollar_c3,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[1545,3,1093]),
[iquote('hyper,1545,3,1093')] ).
cnf(1578,plain,
coll(dollar_c2,dollar_c1,dollar_c6),
inference(hyper,[status(thm)],[1554,3,1486]),
[iquote('hyper,1554,3,1486')] ).
cnf(1580,plain,
coll(dollar_c1,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1554,3,1486]),
[iquote('hyper,1554,3,1486')] ).
cnf(1589,plain,
coll(dollar_c3,dollar_c1,dollar_c6),
inference(hyper,[status(thm)],[1555,1]),
[iquote('hyper,1555,1')] ).
cnf(1641,plain,
coll(dollar_c2,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[1578,1]),
[iquote('hyper,1578,1')] ).
cnf(1665,plain,
coll(dollar_c1,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[1580,1]),
[iquote('hyper,1580,1')] ).
cnf(1672,plain,
coll(dollar_c6,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1589,114]),
[iquote('hyper,1589,114')] ).
cnf(1673,plain,
coll(dollar_c1,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1589,3,1179]),
[iquote('hyper,1589,3,1179')] ).
cnf(1674,plain,
coll(dollar_c3,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1589,3,1095]),
[iquote('hyper,1589,3,1095')] ).
cnf(1758,plain,
coll(dollar_c6,dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[1641,2]),
[iquote('hyper,1641,2')] ).
cnf(1778,plain,
coll(dollar_c2,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[1672,3,1486]),
[iquote('hyper,1672,3,1486')] ).
cnf(1779,plain,
coll(dollar_c3,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1672,3,1486]),
[iquote('hyper,1672,3,1486')] ).
cnf(1807,plain,
coll(dollar_c2,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1778,1]),
[iquote('hyper,1778,1')] ).
cnf(1808,plain,
coll(dollar_c3,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[1779,1]),
[iquote('hyper,1779,1')] ).
cnf(1823,plain,
coll(dollar_c3,dollar_c2,dollar_c2),
inference(hyper,[status(thm)],[1807,3,1479]),
[iquote('hyper,1807,3,1479')] ).
cnf(1828,plain,
coll(dollar_c3,dollar_c2,dollar_c3),
inference(hyper,[status(thm)],[1808,3,1674]),
[iquote('hyper,1808,3,1674')] ).
cnf(1878,plain,
para(dollar_c6,dollar_c4,dollar_c6,dollar_c5),
inference(hyper,[status(thm)],[225,39]),
[iquote('hyper,225,39')] ).
cnf(1883,plain,
perp(dollar_c2,dollar_c6,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[1472,8]),
[iquote('hyper,1472,8')] ).
cnf(1891,plain,
para(dollar_c1,dollar_c6,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[1473,5]),
[iquote('hyper,1473,5')] ).
cnf(1937,plain,
para(dollar_c2,dollar_c6,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[1477,5]),
[iquote('hyper,1477,5')] ).
cnf(1976,plain,
para(dollar_c3,dollar_c6,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[1878,73,223]),
[iquote('hyper,1878,73,223')] ).
cnf(2024,plain,
para(dollar_c2,dollar_c6,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[1883,9,1472]),
[iquote('hyper,1883,9,1472')] ).
cnf(2060,plain,
para(dollar_c3,dollar_c6,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[1976,4]),
[iquote('hyper,1976,4')] ).
cnf(2176,plain,
para(dollar_c6,dollar_c3,dollar_c3,dollar_c6),
inference(hyper,[status(thm)],[2060,5]),
[iquote('hyper,2060,5')] ).
cnf(2282,plain,
para(dollar_c6,dollar_c3,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[2176,6,2060]),
[iquote('hyper,2176,6,2060')] ).
cnf(4967,plain,
cyclic(dollar_c2,dollar_c6,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[1476,43,1513]),
[iquote('hyper,1476,43,1513')] ).
cnf(4968,plain,
cyclic(dollar_c2,dollar_c2,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[1476,43,1486]),
[iquote('hyper,1476,43,1486')] ).
cnf(4983,plain,
cyclic(dollar_c2,dollar_c6,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[4968,15]),
[iquote('hyper,4968,15')] ).
cnf(5002,plain,
cyclic(dollar_c2,dollar_c6,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[4983,14]),
[iquote('hyper,4983,14')] ).
cnf(5041,plain,
cong(dollar_c2,dollar_c6,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[5002,123,4967,1476]),
[iquote('hyper,5002,123,4967,1476')] ).
cnf(5180,plain,
midp(dollar_c2,dollar_c6,dollar_c6),
inference(hyper,[status(thm)],[5041,68,1514]),
[iquote('hyper,5041,68,1514')] ).
cnf(5182,plain,
midp(dollar_c2,dollar_c3,dollar_c3),
inference(hyper,[status(thm)],[5180,129,2282]),
[iquote('hyper,5180,129,2282')] ).
cnf(5185,plain,
midp(dollar_c2,dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[5180,129,1471]),
[iquote('hyper,5180,129,1471')] ).
cnf(5186,plain,
midp(dollar_c2,dollar_c2,dollar_c2),
inference(hyper,[status(thm)],[5180,129,1470]),
[iquote('hyper,5180,129,1470')] ).
cnf(5191,plain,
midp(dollar_c6,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[5180,46,1937,1486]),
[iquote('hyper,5180,46,1937,1486')] ).
cnf(5210,plain,
para(dollar_c3,dollar_c1,dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[5185,64,5182]),
[iquote('hyper,5185,64,5182')] ).
cnf(5224,plain,
midp(dollar_c6,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[5186,46,2024,1500]),
[iquote('hyper,5186,46,2024,1500')] ).
cnf(5251,plain,
para(dollar_c6,dollar_c6,dollar_c2,dollar_c2),
inference(hyper,[status(thm)],[5191,128]),
[iquote('hyper,5191,128')] ).
cnf(5253,plain,
cong(dollar_c1,dollar_c6,dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[5191,56,1474]),
[iquote('hyper,5191,56,1474')] ).
cnf(5256,plain,
midp(dollar_c3,dollar_c2,dollar_c3),
inference(hyper,[status(thm)],[5224,46,2282,1828]),
[iquote('hyper,5224,46,2282,1828')] ).
cnf(5262,plain,
cong(dollar_c3,dollar_c2,dollar_c3,dollar_c3),
inference(hyper,[status(thm)],[5256,69]),
[iquote('hyper,5256,69')] ).
cnf(5263,plain,
midp(dollar_c3,dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[5256,11]),
[iquote('hyper,5256,11')] ).
cnf(5276,plain,
cong(dollar_c3,dollar_c3,dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[5263,69]),
[iquote('hyper,5263,69')] ).
cnf(5969,plain,
para(dollar_c3,dollar_c1,dollar_c1,dollar_c3),
inference(hyper,[status(thm)],[5210,4]),
[iquote('hyper,5210,4')] ).
cnf(6019,plain,
midp(dollar_c1,dollar_c6,dollar_c2),
inference(hyper,[status(thm)],[5253,68,1665]),
[iquote('hyper,5253,68,1665')] ).
cnf(6021,plain,
midp(dollar_c1,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[6019,65,1477,5251]),
[iquote('hyper,6019,65,1477,5251')] ).
cnf(6031,plain,
midp(dollar_c6,dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[6021,46,1891,1758]),
[iquote('hyper,6021,46,1891,1758')] ).
cnf(6039,plain,
para(dollar_c2,dollar_c1,dollar_c2,dollar_c6),
inference(hyper,[status(thm)],[6021,45,5186]),
[iquote('hyper,6021,45,5186')] ).
cnf(6057,plain,
para(dollar_c2,dollar_c6,dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[6031,45,5186]),
[iquote('hyper,6031,45,5186')] ).
cnf(6122,plain,
cong(dollar_c3,dollar_c2,dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[5276,25,5262]),
[iquote('hyper,5276,25,5262')] ).
cnf(7416,plain,
midp(dollar_c3,dollar_c2,dollar_c2),
inference(hyper,[status(thm)],[6122,68,1823]),
[iquote('hyper,6122,68,1823')] ).
cnf(7424,plain,
midp(dollar_c3,dollar_c6,dollar_c1),
inference(hyper,[status(thm)],[7416,65,6057,6039]),
[iquote('hyper,7416,65,6057,6039')] ).
cnf(7620,plain,
midp(dollar_c1,dollar_c6,dollar_c3),
inference(hyper,[status(thm)],[7424,46,5969,1673]),
[iquote('hyper,7424,46,5969,1673')] ).
cnf(7727,plain,
cong(dollar_c1,dollar_c6,dollar_c1,dollar_c3),
inference(hyper,[status(thm)],[7620,69]),
[iquote('hyper,7620,69')] ).
cnf(7728,plain,
$false,
inference(binary,[status(thm)],[7727,113]),
[iquote('binary,7727.1,113.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 07:23:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 2.58/2.69 ----- Otter 3.3f, August 2004 -----
% 2.58/2.69 The process was started by sandbox on n015.cluster.edu,
% 2.58/2.69 Wed Jul 27 07:23:57 2022
% 2.58/2.69 The command was "./otter". The process ID is 19394.
% 2.58/2.69
% 2.58/2.69 set(prolog_style_variables).
% 2.58/2.69 set(auto).
% 2.58/2.69 dependent: set(auto1).
% 2.58/2.69 dependent: set(process_input).
% 2.58/2.69 dependent: clear(print_kept).
% 2.58/2.69 dependent: clear(print_new_demod).
% 2.58/2.69 dependent: clear(print_back_demod).
% 2.58/2.69 dependent: clear(print_back_sub).
% 2.58/2.69 dependent: set(control_memory).
% 2.58/2.69 dependent: assign(max_mem, 12000).
% 2.58/2.69 dependent: assign(pick_given_ratio, 4).
% 2.58/2.69 dependent: assign(stats_level, 1).
% 2.58/2.69 dependent: assign(max_seconds, 10800).
% 2.58/2.69 clear(print_given).
% 2.58/2.69
% 2.58/2.69 formula_list(usable).
% 2.58/2.69 all A (A=A).
% 2.58/2.69 all A B C (coll(A,B,C)->coll(A,C,B)).
% 2.58/2.69 all A B C (coll(A,B,C)->coll(B,A,C)).
% 2.58/2.69 all A B C D (coll(A,B,C)&coll(A,B,D)->coll(C,D,A)).
% 2.58/2.69 all A B C D (para(A,B,C,D)->para(A,B,D,C)).
% 2.58/2.69 all A B C D (para(A,B,C,D)->para(C,D,A,B)).
% 2.58/2.69 all A B C D E F (para(A,B,C,D)¶(C,D,E,F)->para(A,B,E,F)).
% 2.58/2.69 all A B C D (perp(A,B,C,D)->perp(A,B,D,C)).
% 2.58/2.69 all A B C D (perp(A,B,C,D)->perp(C,D,A,B)).
% 2.58/2.69 all A B C D E F (perp(A,B,C,D)&perp(C,D,E,F)->para(A,B,E,F)).
% 2.58/2.69 all A B C D E F (para(A,B,C,D)&perp(C,D,E,F)->perp(A,B,E,F)).
% 2.58/2.69 all A B M (midp(M,B,A)->midp(M,A,B)).
% 2.58/2.69 all A B C O (cong(O,A,O,B)&cong(O,A,O,C)->circle(O,A,B,C)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C D (cyclic(A,B,C,D)->cyclic(A,B,D,C)).
% 2.58/2.69 all A B C D (cyclic(A,B,C,D)->cyclic(A,C,B,D)).
% 2.58/2.69 all A B C D (cyclic(A,B,C,D)->cyclic(B,A,C,D)).
% 2.58/2.69 all A B C D E (cyclic(A,B,C,D)&cyclic(A,B,C,E)->cyclic(B,C,D,E)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C D (cong(A,B,C,D)->cong(A,B,D,C)).
% 2.58/2.69 all A B C D (cong(A,B,C,D)->cong(C,D,A,B)).
% 2.58/2.69 all A B C D E F (cong(A,B,C,D)&cong(C,D,E,F)->cong(A,B,E,F)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C P Q R (simtri(A,C,B,P,R,Q)->simtri(A,B,C,P,Q,R)).
% 2.58/2.69 all A B C P Q R (simtri(B,A,C,Q,P,R)->simtri(A,B,C,P,Q,R)).
% 2.58/2.69 all A B C P Q R (simtri(P,Q,R,A,B,C)->simtri(A,B,C,P,Q,R)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C P Q R (contri(A,C,B,P,R,Q)->contri(A,B,C,P,Q,R)).
% 2.58/2.69 all A B C P Q R (contri(B,A,C,Q,P,R)->contri(A,B,C,P,Q,R)).
% 2.58/2.69 all A B C P Q R (contri(P,Q,R,A,B,C)->contri(A,B,C,P,Q,R)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C D P Q (e_qangle(A,B,P,Q,C,D,P,Q)->para(A,B,C,D)).
% 2.58/2.69 all A B C D P Q (para(A,B,C,D)->e_qangle(A,B,P,Q,C,D,P,Q)).
% 2.58/2.69 all A B P Q (cyclic(A,B,P,Q)->e_qangle(P,A,P,B,Q,A,Q,B)).
% 2.58/2.69 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)& -coll(P,Q,A)->cyclic(A,B,P,Q)).
% 2.58/2.69 all A B P Q (e_qangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B)->cyclic(A,B,P,Q)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C E F (midp(E,A,B)&midp(F,A,C)->para(E,F,B,C)).
% 2.58/2.69 all A B C E F (midp(E,A,B)¶(E,F,B,C)&coll(F,A,C)->midp(F,A,C)).
% 2.58/2.69 all A B O (cong(O,A,O,B)->e_qangle(O,A,A,B,A,B,O,B)).
% 2.58/2.69 all A B O (e_qangle(O,A,A,B,A,B,O,B)& -coll(O,A,B)->cong(O,A,O,B)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C M (perp(A,B,B,C)&midp(M,A,C)->cong(A,M,B,M)).
% 2.58/2.69 all A B C O (circle(O,A,B,C)&coll(O,A,C)->perp(A,B,B,C)).
% 2.58/2.69 all A B C D (cyclic(A,B,C,D)¶(A,B,C,D)->e_qangle(A,D,C,D,C,D,C,B)).
% 2.58/2.69 all A B M O (midp(M,A,B)&perp(O,M,A,B)->cong(O,A,O,B)).
% 2.58/2.69 all A B P Q (cong(A,P,B,P)&cong(A,Q,B,Q)->perp(A,B,P,Q)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qratio(A,B,A,C,P,Q,P,R)).
% 2.58/2.69 all A B C P Q R (simtri(A,B,C,P,Q,R)->e_qangle(A,B,B,C,P,Q,Q,R)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C P Q R (contri(A,B,C,P,Q,R)->cong(A,B,P,Q)).
% 2.58/2.69 all A B C D M (midp(M,A,B)&midp(M,C,D)->para(A,C,B,D)).
% 2.58/2.69 all A B C D M (midp(M,A,B)¶(A,C,B,D)¶(A,D,B,C)->midp(M,C,D)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C (para(A,B,A,C)->coll(A,B,C)).
% 2.58/2.69 all A B C (cong(A,B,A,C)&coll(A,B,C)->midp(A,B,C)).
% 2.58/2.69 all A B C (midp(A,B,C)->cong(A,B,A,C)).
% 2.58/2.69 all A B C (midp(A,B,C)->coll(A,B,C)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C O exists P (circle(O,A,B,C)->perp(P,A,A,O)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 all A B C D exists O (perp(A,C,C,B)&cyclic(A,B,C,D)->circle(O,A,B,C)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 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)).
% 2.58/2.69 -(all A B C U O T (e_qangle(U,A,A,C,U,A,A,B)&coll(U,B,C)&circle(O,A,B,C)&perp(A,O,A,T)&coll(T,B,C)->cong(T,A,T,U))).
% 2.58/2.69 end_of_list.
% 2.58/2.69
% 2.58/2.69 -------> usable clausifies to:
% 2.58/2.69
% 2.58/2.69 list(usable).
% 2.58/2.69 0 [] A=A.
% 2.58/2.69 0 [] -coll(A,B,C)|coll(A,C,B).
% 2.58/2.69 0 [] -coll(A,B,C)|coll(B,A,C).
% 2.58/2.69 0 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.58/2.69 0 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.58/2.69 0 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.58/2.69 0 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.58/2.69 0 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.58/2.69 0 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.58/2.69 0 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.58/2.69 0 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.58/2.69 0 [] -midp(M,B,A)|midp(M,A,B).
% 2.58/2.69 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)|circle(O,A,B,C).
% 2.58/2.69 0 [] -cong(O,A,O,B)| -cong(O,A,O,C)| -cong(O,A,O,D)|cyclic(A,B,C,D).
% 2.58/2.69 0 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.58/2.69 0 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.58/2.69 0 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.58/2.69 0 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(B,A,C,D,P,Q,U,V).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(C,D,A,B,U,V,P,Q).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(P,Q,U,V,A,B,C,D).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)|e_qangle(A,B,P,Q,C,D,U,V).
% 2.58/2.69 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).
% 2.58/2.69 0 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.58/2.69 0 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.58/2.69 0 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.58/2.69 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(B,A,C,D,P,Q,U,V).
% 2.58/2.69 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(C,D,A,B,U,V,P,Q).
% 2.58/2.69 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(P,Q,U,V,A,B,C,D).
% 2.58/2.69 0 [] -e_qratio(A,B,C,D,P,Q,U,V)|e_qratio(A,B,P,Q,C,D,U,V).
% 2.58/2.69 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).
% 2.58/2.69 0 [] -simtri(A,C,B,P,R,Q)|simtri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -simtri(B,A,C,Q,P,R)|simtri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -simtri(P,Q,R,A,B,C)|simtri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -simtri(A,B,C,E,F,G)| -simtri(E,F,G,P,Q,R)|simtri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -contri(A,C,B,P,R,Q)|contri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -contri(B,A,C,Q,P,R)|contri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -contri(P,Q,R,A,B,C)|contri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -contri(A,B,C,E,F,G)| -contri(E,F,G,P,Q,R)|contri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -e_qangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D).
% 2.58/2.69 0 [] -para(A,B,C,D)|e_qangle(A,B,P,Q,C,D,P,Q).
% 2.58/2.69 0 [] -cyclic(A,B,P,Q)|e_qangle(P,A,P,B,Q,A,Q,B).
% 2.58/2.69 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A)|cyclic(A,B,P,Q).
% 2.58/2.69 0 [] -e_qangle(P,A,P,B,Q,A,Q,B)| -coll(P,Q,B)|cyclic(A,B,P,Q).
% 2.58/2.69 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).
% 2.58/2.69 0 [] -midp(E,A,B)| -midp(F,A,C)|para(E,F,B,C).
% 2.58/2.69 0 [] -midp(E,A,B)| -para(E,F,B,C)| -coll(F,A,C)|midp(F,A,C).
% 2.58/2.69 0 [] -cong(O,A,O,B)|e_qangle(O,A,A,B,A,B,O,B).
% 2.58/2.69 0 [] -e_qangle(O,A,A,B,A,B,O,B)|coll(O,A,B)|cong(O,A,O,B).
% 2.58/2.69 0 [] -circle(O,A,B,C)| -perp(O,A,A,X)|e_qangle(A,X,A,B,C,A,C,B).
% 2.58/2.69 0 [] -circle(O,A,B,C)| -e_qangle(A,X,A,B,C,A,C,B)|perp(O,A,A,X).
% 2.58/2.69 0 [] -circle(O,A,B,C)| -midp(M,B,C)|e_qangle(A,B,A,C,O,B,O,M).
% 2.58/2.69 0 [] -circle(O,A,B,C)| -coll(M,B,C)| -e_qangle(A,B,A,C,O,B,O,M)|midp(M,B,C).
% 2.58/2.69 0 [] -perp(A,B,B,C)| -midp(M,A,C)|cong(A,M,B,M).
% 2.58/2.69 0 [] -circle(O,A,B,C)| -coll(O,A,C)|perp(A,B,B,C).
% 2.58/2.69 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)|e_qangle(A,D,C,D,C,D,C,B).
% 2.58/2.69 0 [] -midp(M,A,B)| -perp(O,M,A,B)|cong(O,A,O,B).
% 2.58/2.69 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)|perp(A,B,P,Q).
% 2.58/2.69 0 [] -cong(A,P,B,P)| -cong(A,Q,B,Q)| -cyclic(A,B,P,Q)|perp(P,A,A,Q).
% 2.58/2.69 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).
% 2.58/2.69 0 [] -simtri(A,B,C,P,Q,R)|e_qratio(A,B,A,C,P,Q,P,R).
% 2.58/2.69 0 [] -simtri(A,B,C,P,Q,R)|e_qangle(A,B,B,C,P,Q,Q,R).
% 2.58/2.69 0 [] -simtri(A,B,C,P,Q,R)| -cong(A,B,P,Q)|contri(A,B,C,P,Q,R).
% 2.58/2.69 0 [] -contri(A,B,C,P,Q,R)|cong(A,B,P,Q).
% 2.58/2.69 0 [] -midp(M,A,B)| -midp(M,C,D)|para(A,C,B,D).
% 2.58/2.69 0 [] -midp(M,A,B)| -para(A,C,B,D)| -para(A,D,B,C)|midp(M,C,D).
% 2.58/2.69 0 [] -para(A,B,C,D)| -coll(O,A,C)| -coll(O,B,D)|e_qratio(O,A,A,C,O,B,B,D).
% 2.58/2.69 0 [] -para(A,B,A,C)|coll(A,B,C).
% 2.58/2.69 0 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.58/2.69 0 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.58/2.69 0 [] -midp(A,B,C)|coll(A,B,C).
% 2.58/2.69 0 [] -midp(M,A,B)| -midp(N,C,D)|e_qratio(M,A,A,B,N,C,C,D).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,C,D,A,B)|para(A,B,C,D)|perp(A,B,C,D).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -para(P,Q,U,V)|para(A,B,C,D).
% 2.58/2.69 0 [] -e_qangle(A,B,C,D,P,Q,U,V)| -perp(P,Q,U,V)|perp(A,B,C,D).
% 2.58/2.69 0 [] -e_qratio(A,B,C,D,P,Q,U,V)| -cong(P,Q,U,V)|cong(A,B,C,D).
% 2.58/2.69 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),A,M).
% 2.58/2.69 0 [] -perp(O,M,M,A)| -e_qangle(X,O,M,O,M,O,A,O)|coll($f1(A,M,O,X),O,X).
% 2.58/2.69 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f2(A,B,O,X)).
% 2.58/2.69 0 [] -cong(O,A,O,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f2(A,B,O,X),O,X).
% 2.58/2.69 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll(B,A,$f3(A,B,O,X)).
% 2.58/2.69 0 [] -perp(O,X,A,B)| -e_qangle(A,O,O,X,O,X,O,B)|coll($f3(A,B,O,X),O,X).
% 2.58/2.69 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll(B,A,$f4(A,B,O,X)).
% 2.58/2.69 0 [] -perp(O,X,A,B)| -cong(O,A,O,B)|coll($f4(A,B,O,X),O,X).
% 2.58/2.69 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|e_qangle(A,P,B,P,A,$f5(A,B,P,X,Y),B,$f5(A,B,P,X,Y)).
% 2.58/2.69 0 [] -e_qangle(A,P,B,P,A,X,B,Y)|coll(A,B,P)|cyclic(X,B,P,$f5(A,B,P,X,Y)).
% 2.58/2.69 0 [] -midp(M,A,B)| -midp(N,C,D)|midp($f6(A,B,C,D,M,N),A,D).
% 2.58/2.70 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),M,B,D).
% 2.58/2.70 0 [] -midp(M,A,B)| -midp(N,C,D)|para($f6(A,B,C,D,M,N),N,A,C).
% 2.58/2.70 0 [] -midp(M,A,B)| -midp(N,C,D)| -coll(C,A,B)| -coll(D,A,B)|midp($f7(A,B,C,D,M,N,Q),A,Q).
% 2.58/2.70 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),A,Q).
% 2.58/2.70 0 [] -midp(X1,A,B)| -para(A,P,R,X1)| -para(A,P,B,Q)| -coll(P,Q,R)|coll($f8(A,B,M,P,Q,R,X1),X1,R).
% 2.58/2.70 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(O,C,O,$f9(A,B,C,D,O)).
% 2.58/2.70 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|para($f9(A,B,C,D,O),C,A,B).
% 2.58/2.70 0 [] -cong(O,C,O,D)| -perp(A,B,B,O)|cong(B,C,B,$f9(A,B,C,D,O)).
% 2.58/2.70 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f11(A,B,C,H),C,B).
% 2.58/2.70 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(A,$f11(A,B,C,H),C,B).
% 2.58/2.70 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|coll($f10(A,B,C,H),C,A).
% 2.58/2.70 0 [] -perp(A,H,B,C)| -perp(B,H,A,C)|perp(B,$f10(A,B,C,H),C,A).
% 2.58/2.70 0 [] -circle(O,A,B,C)|perp($f12(A,B,C,O),A,A,O).
% 2.58/2.70 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f14(A,B,C,D,M,N),A,C).
% 2.58/2.70 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f14(A,B,C,D,M,N),N,N,A).
% 2.58/2.70 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|coll($f13(A,B,C,D,M,N),B,D).
% 2.58/2.70 0 [] -circle(M,A,B,C)| -cong(M,A,M,D)| -cong(N,A,N,B)|M=N|cong($f13(A,B,C,D,M,N),N,N,A).
% 2.58/2.70 0 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(M,A,B)|circle($f15(A,B,C,D,M),A,B,C).
% 2.58/2.70 0 [] -perp(A,C,C,B)| -cyclic(A,B,C,D)|circle($f16(A,B,C,D),A,B,C).
% 2.58/2.70 0 [] -perp(A,C,C,B)| -coll(B,E,F)|coll($f17(A,B,C,E,F),E,F).
% 2.58/2.70 0 [] -perp(A,C,C,B)| -coll(B,E,F)|perp($f17(A,B,C,E,F),A,E,F).
% 2.58/2.70 0 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(M,B,D)|midp($f18(A,B,C,D,M),A,C).
% 2.58/2.70 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|coll(A,O,$f19(A,B,O)).
% 2.58/2.70 0 [] -cong(O,A,O,B)| -perp(A,O,O,B)|cong(O,A,O,$f19(A,B,O)).
% 2.58/2.70 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll(P,Q,$f20(A,B,C,D,P,Q)).
% 2.58/2.70 0 [] -para(A,B,C,D)| -coll(P,A,C)| -coll(P,B,D)| -coll(Q,A,B)|coll($f20(A,B,C,D,P,Q),C,D).
% 2.58/2.70 0 [] e_qangle($c3,$c6,$c6,$c4,$c3,$c6,$c6,$c5).
% 2.58/2.70 0 [] coll($c3,$c5,$c4).
% 2.58/2.70 0 [] circle($c2,$c6,$c5,$c4).
% 2.58/2.70 0 [] perp($c6,$c2,$c6,$c1).
% 2.58/2.70 0 [] coll($c1,$c5,$c4).
% 2.58/2.70 0 [] -cong($c1,$c6,$c1,$c3).
% 2.58/2.70 end_of_list.
% 2.58/2.70
% 2.58/2.70 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.58/2.70
% 2.58/2.70 This ia a non-Horn set with equality. The strategy will be
% 2.58/2.70 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.58/2.70 deletion, with positive clauses in sos and nonpositive
% 2.58/2.70 clauses in usable.
% 2.58/2.70
% 2.58/2.70 dependent: set(knuth_bendix).
% 2.58/2.70 dependent: set(anl_eq).
% 2.58/2.70 dependent: set(para_from).
% 2.58/2.70 dependent: set(para_into).
% 2.58/2.70 dependent: clear(para_from_right).
% 2.58/2.70 dependent: clear(para_into_right).
% 2.58/2.70 dependent: set(para_from_vars).
% 2.58/2.70 dependent: set(eq_units_both_ways).
% 2.58/2.70 dependent: set(dynamic_demod_all).
% 2.58/2.70 dependent: set(dynamic_demod).
% 2.58/2.70 dependent: set(order_eq).
% 2.58/2.70 dependent: set(back_demod).
% 2.58/2.70 dependent: set(lrpo).
% 2.58/2.70 dependent: set(hyper_res).
% 2.58/2.70 dependent: set(unit_deletion).
% 2.58/2.70 dependent: set(factor).
% 2.58/2.70
% 2.58/2.70 ------------> process usable:
% 2.58/2.70 ** KEPT (pick-wt=8): 1 [] -coll(A,B,C)|coll(A,C,B).
% 2.58/2.70 ** KEPT (pick-wt=8): 2 [] -coll(A,B,C)|coll(B,A,C).
% 2.58/2.70 ** KEPT (pick-wt=12): 3 [] -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 2.58/2.70 ** KEPT (pick-wt=10): 4 [] -para(A,B,C,D)|para(A,B,D,C).
% 2.58/2.70 ** KEPT (pick-wt=10): 5 [] -para(A,B,C,D)|para(C,D,A,B).
% 2.58/2.70 ** KEPT (pick-wt=15): 6 [] -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 2.58/2.70 ** KEPT (pick-wt=10): 7 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 2.58/2.70 ** KEPT (pick-wt=10): 8 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 2.58/2.70 ** KEPT (pick-wt=15): 9 [] -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 2.58/2.70 ** KEPT (pick-wt=15): 10 [] -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 2.58/2.70 ** KEPT (pick-wt=8): 11 [] -midp(A,B,C)|midp(A,C,B).
% 2.58/2.70 ** KEPT (pick-wt=15): 12 [] -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=10): 14 [] -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 2.58/2.70 ** KEPT (pick-wt=10): 15 [] -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 2.58/2.70 ** KEPT (pick-wt=10): 16 [] -cyclic(A,B,C,D)|cyclic(B,A,C,D).
% 2.58/2.70 ** KEPT (pick-wt=15): 17 [] -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=10): 23 [] -cong(A,B,C,D)|cong(A,B,D,C).
% 2.58/2.70 ** KEPT (pick-wt=10): 24 [] -cong(A,B,C,D)|cong(C,D,A,B).
% 2.58/2.70 ** KEPT (pick-wt=15): 25 [] -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=14): 31 [] -simtri(A,B,C,D,E,F)|simtri(A,C,B,D,F,E).
% 2.58/2.70 ** KEPT (pick-wt=14): 32 [] -simtri(A,B,C,D,E,F)|simtri(B,A,C,E,D,F).
% 2.58/2.70 ** KEPT (pick-wt=14): 33 [] -simtri(A,B,C,D,E,F)|simtri(D,E,F,A,B,C).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=14): 35 [] -contri(A,B,C,D,E,F)|contri(A,C,B,D,F,E).
% 2.58/2.70 ** KEPT (pick-wt=14): 36 [] -contri(A,B,C,D,E,F)|contri(B,A,C,E,D,F).
% 2.58/2.70 ** KEPT (pick-wt=14): 37 [] -contri(A,B,C,D,E,F)|contri(D,E,F,A,B,C).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=14): 39 [] -e_qangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 2.58/2.70 ** KEPT (pick-wt=14): 40 [] -para(A,B,C,D)|e_qangle(A,B,E,F,C,D,E,F).
% 2.58/2.70 ** KEPT (pick-wt=14): 41 [] -cyclic(A,B,C,D)|e_qangle(C,A,C,B,D,A,D,B).
% 2.58/2.70 ** KEPT (pick-wt=18): 42 [] -e_qangle(A,B,A,C,D,B,D,C)|coll(A,D,B)|cyclic(B,C,A,D).
% 2.58/2.70 ** KEPT (pick-wt=18): 43 [] -e_qangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=13): 45 [] -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 2.58/2.70 ** KEPT (pick-wt=17): 46 [] -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 2.58/2.70 ** KEPT (pick-wt=14): 47 [] -cong(A,B,A,C)|e_qangle(A,B,B,C,B,C,A,C).
% 2.58/2.70 ** KEPT (pick-wt=18): 48 [] -e_qangle(A,B,B,C,B,C,A,C)|coll(A,B,C)|cong(A,B,A,C).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=18): 51 [] -circle(A,B,C,D)| -midp(E,C,D)|e_qangle(B,C,B,D,A,C,A,E).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=14): 53 [] -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 2.58/2.70 ** KEPT (pick-wt=14): 54 [] -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=14): 56 [] -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 2.58/2.70 ** KEPT (pick-wt=15): 57 [] -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=16): 60 [] -simtri(A,B,C,D,E,F)|e_qratio(A,B,A,C,D,E,D,F).
% 2.58/2.70 ** KEPT (pick-wt=16): 61 [] -simtri(A,B,C,D,E,F)|e_qangle(A,B,B,C,D,E,E,F).
% 2.58/2.70 ** KEPT (pick-wt=19): 62 [] -simtri(A,B,C,D,E,F)| -cong(A,B,D,E)|contri(A,B,C,D,E,F).
% 2.58/2.70 ** KEPT (pick-wt=12): 63 [] -contri(A,B,C,D,E,F)|cong(A,B,D,E).
% 2.58/2.70 ** KEPT (pick-wt=13): 64 [] -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 2.58/2.70 ** KEPT (pick-wt=18): 65 [] -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=9): 67 [] -para(A,B,A,C)|coll(A,B,C).
% 2.58/2.70 ** KEPT (pick-wt=13): 68 [] -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 2.58/2.70 ** KEPT (pick-wt=9): 69 [] -midp(A,B,C)|cong(A,B,A,C).
% 2.58/2.70 ** KEPT (pick-wt=8): 70 [] -midp(A,B,C)|coll(A,B,C).
% 2.58/2.70 ** KEPT (pick-wt=17): 71 [] -midp(A,B,C)| -midp(D,E,F)|e_qratio(A,B,B,C,D,E,E,F).
% 2.58/2.70 ** 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).
% 2.58/2.70 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** 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).
% 2.58/2.70 ** KEPT (pick-wt=22): 77 [] -perp(A,B,B,C)| -e_qangle(D,A,B,A,B,A,C,A)|coll($f1(C,B,A,D),A,D).
% 2.58/2.70 ** KEPT (pick-wt=22): 78 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll(C,B,$f2(B,C,A,D)).
% 2.58/2.70 ** KEPT (pick-wt=22): 79 [] -cong(A,B,A,C)| -e_qangle(B,A,A,D,A,D,A,C)|coll($f2(B,C,A,D),A,D).
% 2.58/2.70 ** KEPT (pick-wt=22): 80 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll(D,C,$f3(C,D,A,B)).
% 2.58/2.70 ** KEPT (pick-wt=22): 81 [] -perp(A,B,C,D)| -e_qangle(C,A,A,B,A,B,A,D)|coll($f3(C,D,A,B),A,B).
% 2.58/2.70 ** KEPT (pick-wt=18): 82 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll(D,C,$f4(C,D,A,B)).
% 2.58/2.70 ** KEPT (pick-wt=18): 83 [] -perp(A,B,C,D)| -cong(A,C,A,D)|coll($f4(C,D,A,B),A,B).
% 2.58/2.70 ** KEPT (pick-wt=32): 84 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|e_qangle(A,B,C,B,A,$f5(A,C,B,D,E),C,$f5(A,C,B,D,E)).
% 2.58/2.70 ** KEPT (pick-wt=23): 85 [] -e_qangle(A,B,C,B,A,D,C,E)|coll(A,C,B)|cyclic(D,C,B,$f5(A,C,B,D,E)).
% 2.58/2.70 ** KEPT (pick-wt=18): 86 [] -midp(A,B,C)| -midp(D,E,F)|midp($f6(B,C,E,F,A,D),B,F).
% 2.58/2.70 ** KEPT (pick-wt=19): 87 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),A,C,F).
% 2.58/2.70 ** KEPT (pick-wt=19): 88 [] -midp(A,B,C)| -midp(D,E,F)|para($f6(B,C,E,F,A,D),D,B,E).
% 2.58/2.70 ** KEPT (pick-wt=27): 89 [] -midp(A,B,C)| -midp(D,E,F)| -coll(E,B,C)| -coll(F,B,C)|midp($f7(B,C,E,F,A,D,G),B,G).
% 2.58/2.70 ** KEPT (pick-wt=29): 90 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),B,F).
% 2.58/2.70 ** KEPT (pick-wt=29): 91 [] -midp(A,B,C)| -para(B,D,E,A)| -para(B,D,C,F)| -coll(D,F,E)|coll($f8(B,C,G,D,F,E,A),A,E).
% 2.58/2.70 ** KEPT (pick-wt=20): 92 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(A,B,A,$f9(D,E,B,C,A)).
% 2.58/2.70 ** KEPT (pick-wt=20): 93 [] -cong(A,B,A,C)| -perp(D,E,E,A)|para($f9(D,E,B,C,A),B,D,E).
% 2.58/2.70 ** KEPT (pick-wt=20): 94 [] -cong(A,B,A,C)| -perp(D,E,E,A)|cong(E,B,E,$f9(D,E,B,C,A)).
% 2.58/2.70 ** KEPT (pick-wt=18): 95 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f11(A,C,D,B),D,C).
% 2.58/2.70 ** KEPT (pick-wt=19): 96 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(A,$f11(A,C,D,B),D,C).
% 2.58/2.70 ** KEPT (pick-wt=18): 97 [] -perp(A,B,C,D)| -perp(C,B,A,D)|coll($f10(A,C,D,B),D,A).
% 2.58/2.70 ** KEPT (pick-wt=19): 98 [] -perp(A,B,C,D)| -perp(C,B,A,D)|perp(C,$f10(A,C,D,B),D,A).
% 2.58/2.70 ** KEPT (pick-wt=14): 99 [] -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 2.58/2.70 ** KEPT (pick-wt=28): 100 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f14(B,C,D,E,A,F),B,D).
% 2.58/2.70 ** KEPT (pick-wt=29): 101 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f14(B,C,D,E,A,F),F,F,B).
% 2.58/2.70 ** KEPT (pick-wt=28): 102 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|coll($f13(B,C,D,E,A,F),C,E).
% 2.58/2.70 ** KEPT (pick-wt=29): 103 [] -circle(A,B,C,D)| -cong(A,B,A,E)| -cong(F,B,F,C)|A=F|cong($f13(B,C,D,E,A,F),F,F,B).
% 2.58/2.70 ** KEPT (pick-wt=24): 104 [] -cyclic(A,B,C,D)| -para(A,B,C,D)| -midp(E,A,B)|circle($f15(A,B,C,D,E),A,B,C).
% 2.58/2.70 ** KEPT (pick-wt=19): 105 [] -perp(A,B,B,C)| -cyclic(A,C,B,D)|circle($f16(A,C,B,D),A,C,B).
% 2.58/2.70 ** KEPT (pick-wt=18): 106 [] -perp(A,B,B,C)| -coll(C,D,E)|coll($f17(A,C,B,D,E),D,E).
% 2.58/2.70 ** KEPT (pick-wt=19): 107 [] -perp(A,B,B,C)| -coll(C,D,E)|perp($f17(A,C,B,D,E),A,D,E).
% 2.58/2.70 ** KEPT (pick-wt=23): 108 [] -perp(A,B,A,C)| -perp(C,A,C,D)| -midp(E,B,D)|midp($f18(A,B,C,D,E),A,C).
% 2.58/2.70 ** KEPT (pick-wt=17): 109 [] -cong(A,B,A,C)| -perp(B,A,A,C)|coll(B,A,$f19(B,C,A)).
% 2.58/2.70 ** KEPT (pick-wt=18): 110 [] -cong(A,B,A,C)| -perp(B,A,A,C)|cong(A,B,A,$f19(B,C,A)).
% 2.58/2.70 ** KEPT (pick-wt=27): 111 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll(E,F,$f20(A,B,C,D,E,F)).
% 2.58/2.70 ** KEPT (pick-wt=27): 112 [] -para(A,B,C,D)| -coll(E,A,C)| -coll(E,B,D)| -coll(F,A,B)|coll($f20(A,B,C,D,E,F),C,D).
% 13.67/13.81 ** KEPT (pick-wt=5): 113 [] -cong($c1,$c6,$c1,$c3).
% 13.67/13.81
% 13.67/13.81 ------------> process sos:
% 13.67/13.81 ** KEPT (pick-wt=3): 159 [] A=A.
% 13.67/13.81 ** KEPT (pick-wt=9): 160 [] e_qangle($c3,$c6,$c6,$c4,$c3,$c6,$c6,$c5).
% 13.67/13.81 ** KEPT (pick-wt=4): 161 [] coll($c3,$c5,$c4).
% 13.67/13.81 ** KEPT (pick-wt=5): 162 [] circle($c2,$c6,$c5,$c4).
% 13.67/13.81 ** KEPT (pick-wt=5): 163 [] perp($c6,$c2,$c6,$c1).
% 13.67/13.81 ** KEPT (pick-wt=4): 164 [] coll($c1,$c5,$c4).
% 13.67/13.81 Following clause subsumed by 159 during input processing: 0 [copy,159,flip.1] A=A.
% 13.67/13.81 159 back subsumes 146.
% 13.67/13.81 159 back subsumes 145.
% 13.67/13.81 159 back subsumes 144.
% 13.67/13.81 159 back subsumes 143.
% 13.67/13.81
% 13.67/13.81 ======= end of input processing =======
% 13.67/13.81
% 13.67/13.81 =========== start of search ===========
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 29.
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 29.
% 13.67/13.81
% 13.67/13.81 sos_size=1067
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 9.
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 9.
% 13.67/13.81
% 13.67/13.81 sos_size=1468
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 8.
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 8.
% 13.67/13.81
% 13.67/13.81 sos_size=1938
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 5.
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Resetting weight limit to 5.
% 13.67/13.81
% 13.67/13.81 sos_size=1239
% 13.67/13.81
% 13.67/13.81 -- HEY sandbox, WE HAVE A PROOF!! --
% 13.67/13.81
% 13.67/13.81 ----> UNIT CONFLICT at 11.09 sec ----> 7728 [binary,7727.1,113.1] $F.
% 13.67/13.81
% 13.67/13.81 Length of proof is 92. Level of proof is 20.
% 13.67/13.81
% 13.67/13.81 ---------------- PROOF ----------------
% 13.67/13.81 % SZS status Theorem
% 13.67/13.81 % SZS output start Refutation
% See solution above
% 13.67/13.81 ------------ end of proof -------------
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Search stopped by max_proofs option.
% 13.67/13.81
% 13.67/13.81
% 13.67/13.81 Search stopped by max_proofs option.
% 13.67/13.81
% 13.67/13.81 ============ end of search ============
% 13.67/13.81
% 13.67/13.81 -------------- statistics -------------
% 13.67/13.81 clauses given 5122
% 13.67/13.81 clauses generated 695431
% 13.67/13.81 clauses kept 7727
% 13.67/13.81 clauses forward subsumed 46865
% 13.67/13.81 clauses back subsumed 50
% 13.67/13.81 Kbytes malloced 7812
% 13.67/13.81
% 13.67/13.81 ----------- times (seconds) -----------
% 13.67/13.81 user CPU time 11.09 (0 hr, 0 min, 11 sec)
% 13.67/13.81 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 13.67/13.81 wall-clock time 13 (0 hr, 0 min, 13 sec)
% 13.67/13.81
% 13.67/13.81 That finishes the proof of the theorem.
% 13.67/13.81
% 13.67/13.81 Process 19394 finished Wed Jul 27 07:24:10 2022
% 13.67/13.81 Otter interrupted
% 13.67/13.81 PROOF FOUND
%------------------------------------------------------------------------------