TSTP Solution File: GEO639+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:25:40 EDT 2022
% Result : Theorem 16.27s 16.46s
% Output : Refutation 16.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 44
% Syntax : Number of clauses : 164 ( 49 unt; 10 nHn; 164 RR)
% Number of literals : 357 ( 0 equ; 184 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 20 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
midp(skc17,skc16,skc21),
file('GEO639+1.p',unknown),
[] ).
cnf(10,axiom,
perp(skc24,skc21,skc24,skc22),
file('GEO639+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| coll(u,v,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(19,axiom,
~ eqangle(skc21,skc19,skc19,skc23,skc23,skc19,skc19,skc18),
file('GEO639+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO639+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO639+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO639+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ midp(u,v,w)
| ~ midp(x,v,y)
| para(x,u,y,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO639+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,x)
| ~ cong(y,z,u,v)
| cong(y,z,w,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO639+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO639+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO639+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ eqangle(u,v,w,x,w,x,u,v)
| para(u,v,w,x)
| perp(u,v,w,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO639+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ midp(x,v,y)
| ~ para(x,u,y,w)
| midp(u,v,w) ),
file('GEO639+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO639+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO639+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO639+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO639+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO639+1.p',unknown),
[] ).
cnf(137,plain,
( ~ coll(u,skc16,v)
| ~ para(skc17,u,skc21,v)
| midp(u,skc16,v) ),
inference(res,[status(thm),theory(equality)],[6,85]),
[iquote('0:Res:6.0,85.0')] ).
cnf(141,plain,
( ~ midp(u,skc16,v)
| para(skc17,u,skc21,v) ),
inference(res,[status(thm),theory(equality)],[6,43]),
[iquote('0:Res:6.0,43.0')] ).
cnf(143,plain,
cong(skc17,skc16,skc17,skc21),
inference(res,[status(thm),theory(equality)],[6,21]),
[iquote('0:Res:6.0,21.0')] ).
cnf(145,plain,
coll(skc17,skc16,skc21),
inference(res,[status(thm),theory(equality)],[6,17]),
[iquote('0:Res:6.0,17.0')] ).
cnf(287,plain,
coll(skc16,skc17,skc21),
inference(res,[status(thm),theory(equality)],[145,15]),
[iquote('0:Res:145.0,15.0')] ).
cnf(318,plain,
coll(skc16,skc21,skc17),
inference(res,[status(thm),theory(equality)],[287,14]),
[iquote('0:Res:287.0,14.0')] ).
cnf(395,plain,
cong(skc17,skc21,skc17,skc16),
inference(res,[status(thm),theory(equality)],[143,30]),
[iquote('0:Res:143.0,30.0')] ).
cnf(417,plain,
perp(skc24,skc22,skc24,skc21),
inference(res,[status(thm),theory(equality)],[10,25]),
[iquote('0:Res:10.0,25.0')] ).
cnf(519,plain,
( ~ coll(skc16,skc21,u)
| coll(u,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[318,33]),
[iquote('0:Res:318.0,33.0')] ).
cnf(673,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[44,40]),
[iquote('0:Res:44.1,40.0')] ).
cnf(675,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[42,40]),
[iquote('0:Res:42.1,40.0')] ).
cnf(814,plain,
( ~ cong(u,v,skc17,skc16)
| cong(u,v,skc17,skc21) ),
inference(res,[status(thm),theory(equality)],[143,55]),
[iquote('0:Res:143.0,55.0')] ).
cnf(882,plain,
( ~ perp(u,v,skc24,skc22)
| para(u,v,skc24,skc21) ),
inference(res,[status(thm),theory(equality)],[417,51]),
[iquote('0:Res:417.0,51.0')] ).
cnf(1210,plain,
( ~ cong(u,u,u,u)
| coll(u,u,u)
| cyclic(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[44,69]),
[iquote('0:Res:44.1,69.0')] ).
cnf(1211,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[41,69]),
[iquote('0:Res:41.1,69.0')] ).
cnf(1286,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[41,64]),
[iquote('0:Res:41.1,64.0')] ).
cnf(1288,plain,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,x,u,w,v,x,v) ),
inference(res,[status(thm),theory(equality)],[42,64]),
[iquote('0:Res:42.1,64.0')] ).
cnf(1318,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[41,62]),
[iquote('0:Res:41.1,62.0')] ).
cnf(1334,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[41,61]),
[iquote('0:Res:41.1,61.0')] ).
cnf(1543,plain,
( ~ cong(u,u,u,u)
| ~ coll(u,u,u)
| cyclic(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[44,86]),
[iquote('0:Res:44.1,86.1')] ).
cnf(1544,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[41,86]),
[iquote('0:Res:41.1,86.1')] ).
cnf(1547,plain,
( ~ cong(u,u,u,u)
| cyclic(u,u,u,u) ),
inference(mrr,[status(thm)],[1543,1210]),
[iquote('0:MRR:1543.1,1210.1')] ).
cnf(1566,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,x,v,y,w,x,u) ),
inference(res,[status(thm),theory(equality)],[84,64]),
[iquote('0:Res:84.2,64.0')] ).
cnf(1580,plain,
( ~ cong(u,v,u,v)
| para(u,v,v,v)
| perp(u,v,v,v) ),
inference(res,[status(thm),theory(equality)],[44,82]),
[iquote('0:Res:44.1,82.0')] ).
cnf(1709,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(w,x,w,v,u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[97,63]),
[iquote('0:Res:97.2,63.0')] ).
cnf(1819,plain,
( ~ cong(u,v,u,w)
| ~ para(v,w,u,w)
| para(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[44,94]),
[iquote('0:Res:44.1,94.1')] ).
cnf(2212,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,y,w)
| eqangle(z,x1,x2,x3,x,v,x,u) ),
inference(res,[status(thm),theory(equality)],[84,122]),
[iquote('0:Res:84.2,122.0')] ).
cnf(2313,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| ~ cyclic(w,w,u,w)
| ~ cyclic(w,w,u,v)
| ~ cyclic(w,w,u,u)
| cong(w,w,w,v) ),
inference(res,[status(thm),theory(equality)],[97,128]),
[iquote('0:Res:97.2,128.3')] ).
cnf(2314,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[42,128]),
[iquote('0:Res:42.1,128.3')] ).
cnf(2316,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[2314]),
[iquote('0:Obv:2314.0')] ).
cnf(2317,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2316]),
[iquote('0:Con:2316.2')] ).
cnf(2800,plain,
( ~ midp(u,skc16,v)
| para(skc21,v,skc17,u) ),
inference(res,[status(thm),theory(equality)],[141,23]),
[iquote('0:Res:141.1,23.0')] ).
cnf(3624,plain,
( ~ cong(u,u,u,v)
| coll(u,u,v) ),
inference(res,[status(thm),theory(equality)],[673,20]),
[iquote('0:Res:673.1,20.0')] ).
cnf(3626,plain,
( ~ cong(u,u,u,v)
| para(u,u,v,u) ),
inference(res,[status(thm),theory(equality)],[673,22]),
[iquote('0:Res:673.1,22.0')] ).
cnf(3772,plain,
( ~ cong(u,u,u,u)
| ~ cong(u,u,u,u)
| ~ cong(u,u,u,u)
| perp(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[1547,102]),
[iquote('0:Res:1547.1,102.0')] ).
cnf(3779,plain,
( ~ cong(u,u,u,u)
| perp(u,u,u,u) ),
inference(obv,[status(thm),theory(equality)],[3772]),
[iquote('0:Obv:3772.1')] ).
cnf(4843,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1286,69]),
[iquote('0:Res:1286.1,69.0')] ).
cnf(4854,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1286,86]),
[iquote('0:Res:1286.1,86.1')] ).
cnf(4871,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4854,4843]),
[iquote('0:MRR:4854.1,4843.1')] ).
cnf(4900,plain,
( ~ cyclic(u,v,w,w)
| ~ cyclic(u,u,w,v)
| ~ cyclic(u,u,w,v)
| ~ cyclic(u,u,w,w)
| cong(u,u,v,v) ),
inference(res,[status(thm),theory(equality)],[1288,128]),
[iquote('0:Res:1288.1,128.3')] ).
cnf(4911,plain,
( ~ cyclic(u,v,w,w)
| ~ cyclic(u,u,w,v)
| ~ cyclic(u,u,w,w)
| cong(u,u,v,v) ),
inference(obv,[status(thm),theory(equality)],[4900]),
[iquote('0:Obv:4900.1')] ).
cnf(5091,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1318,40]),
[iquote('0:Res:1318.1,40.0')] ).
cnf(5102,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| ~ cyclic(x,v,u,u)
| cong(x,v,x,w) ),
inference(res,[status(thm),theory(equality)],[1318,128]),
[iquote('0:Res:1318.1,128.3')] ).
cnf(7050,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,x,v)
| eqangle(z,x1,x2,x3,y,w,x,u) ),
inference(res,[status(thm),theory(equality)],[1566,122]),
[iquote('0:Res:1566.2,122.0')] ).
cnf(7586,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| ~ eqangle(y,z,x1,x2,w,x,w,v)
| eqangle(y,z,x1,x2,u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1709,122]),
[iquote('0:Res:1709.2,122.0')] ).
cnf(9130,plain,
coll(skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[318,519]),
[iquote('0:Res:318.0,519.0')] ).
cnf(9149,plain,
coll(skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[9130,14]),
[iquote('0:Res:9130.0,14.0')] ).
cnf(9858,plain,
( ~ para(u,v,w,x)
| ~ midp(y,x,z)
| ~ circle(x1,w,x,z)
| eqangle(v,u,w,z,x1,x,x1,y) ),
inference(res,[status(thm),theory(equality)],[1334,2212]),
[iquote('0:Res:1334.1,2212.2')] ).
cnf(11448,plain,
( ~ midp(u,skc16,v)
| ~ coll(v,w,u)
| ~ midp(skc21,w,skc17)
| midp(v,w,u) ),
inference(res,[status(thm),theory(equality)],[2800,85]),
[iquote('0:Res:2800.1,85.2')] ).
cnf(12124,plain,
( ~ cong(skc17,skc21,skc17,skc16)
| para(skc17,skc21,skc21,skc21)
| perp(skc17,skc21,skc21,skc21) ),
inference(res,[status(thm),theory(equality)],[814,1580]),
[iquote('0:Res:814.1,1580.0')] ).
cnf(12128,plain,
( para(skc17,skc21,skc21,skc21)
| perp(skc17,skc21,skc21,skc21) ),
inference(mrr,[status(thm)],[12124,395]),
[iquote('0:MRR:12124.0,395.0')] ).
cnf(12620,plain,
( ~ cong(skc17,skc17,skc17,skc21)
| ~ coll(skc17,skc16,skc17)
| midp(skc17,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[3626,137]),
[iquote('0:Res:3626.1,137.1')] ).
cnf(12645,plain,
( ~ cong(skc17,skc17,skc17,skc21)
| midp(skc17,skc16,skc17) ),
inference(mrr,[status(thm)],[12620,9149]),
[iquote('0:MRR:12620.1,9149.0')] ).
cnf(12773,plain,
( ~ cong(u,u,u,u)
| ~ perp(v,w,u,u)
| para(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[3779,51]),
[iquote('0:Res:3779.1,51.0')] ).
cnf(12821,plain,
( ~ perp(skc24,skc21,skc24,skc22)
| cyclic(skc21,skc21,skc24,u) ),
inference(res,[status(thm),theory(equality)],[882,4871]),
[iquote('0:Res:882.1,4871.0')] ).
cnf(12839,plain,
cyclic(skc21,skc21,skc24,u),
inference(mrr,[status(thm)],[12821,10]),
[iquote('0:MRR:12821.0,10.0')] ).
cnf(13119,plain,
para(skc24,skc21,skc24,skc21),
inference(res,[status(thm),theory(equality)],[12839,675]),
[iquote('0:Res:12839.0,675.0')] ).
cnf(13265,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[13119,5091]),
[iquote('0:Res:13119.0,5091.0')] ).
cnf(13269,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1211,13265]),
[iquote('0:MRR:1211.0,13265.0')] ).
cnf(13270,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1544,13265]),
[iquote('0:MRR:1544.0,13265.0')] ).
cnf(13272,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4871,13265]),
[iquote('0:MRR:4871.0,13265.0')] ).
cnf(13286,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| cong(w,w,w,v) ),
inference(mrr,[status(thm)],[2313,13272]),
[iquote('0:MRR:2313.4,2313.3,2313.2,13272.0')] ).
cnf(13317,plain,
( ~ cyclic(u,v,w,w)
| cong(u,u,v,v) ),
inference(mrr,[status(thm)],[4911,13272]),
[iquote('0:MRR:4911.2,4911.1,13272.0')] ).
cnf(13398,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[13269,28]),
[iquote('0:Res:13269.1,28.0')] ).
cnf(13404,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[13398,13270]),
[iquote('0:MRR:13398.0,13270.0')] ).
cnf(13429,plain,
cong(u,u,v,v),
inference(mrr,[status(thm)],[13317,13404]),
[iquote('0:MRR:13317.0,13404.0')] ).
cnf(13452,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[5102,13404]),
[iquote('0:MRR:5102.3,13404.0')] ).
cnf(13571,plain,
( ~ perp(u,v,w,w)
| para(u,v,w,w) ),
inference(mrr,[status(thm)],[12773,13429]),
[iquote('0:MRR:12773.0,13429.0')] ).
cnf(13605,plain,
para(skc17,skc21,skc21,skc21),
inference(mrr,[status(thm)],[12128,13571]),
[iquote('0:MRR:12128.1,13571.0')] ).
cnf(13612,plain,
para(skc21,skc21,skc17,skc21),
inference(res,[status(thm),theory(equality)],[13605,23]),
[iquote('0:Res:13605.0,23.0')] ).
cnf(13691,plain,
para(skc21,skc21,skc21,skc17),
inference(res,[status(thm),theory(equality)],[13612,22]),
[iquote('0:Res:13612.0,22.0')] ).
cnf(14128,plain,
( ~ cyclic(skc21,skc21,skc21,skc17)
| cong(skc17,skc17,skc17,skc21) ),
inference(res,[status(thm),theory(equality)],[13691,13286]),
[iquote('0:Res:13691.0,13286.0')] ).
cnf(14139,plain,
cong(skc17,skc17,skc17,skc21),
inference(mrr,[status(thm)],[14128,13272]),
[iquote('0:MRR:14128.0,13272.0')] ).
cnf(14142,plain,
midp(skc17,skc16,skc17),
inference(mrr,[status(thm)],[12645,14139]),
[iquote('0:MRR:12645.0,14139.0')] ).
cnf(14157,plain,
midp(skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[14142,16]),
[iquote('0:Res:14142.0,16.0')] ).
cnf(14422,plain,
( ~ para(skc17,skc21,skc17,skc21)
| para(skc17,skc17,skc17,skc21) ),
inference(res,[status(thm),theory(equality)],[14139,1819]),
[iquote('0:Res:14139.0,1819.0')] ).
cnf(14451,plain,
para(skc17,skc17,skc17,skc21),
inference(mrr,[status(thm)],[14422,13265]),
[iquote('0:MRR:14422.0,13265.0')] ).
cnf(14757,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13272,102]),
[iquote('0:Res:13272.0,102.0')] ).
cnf(14758,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13272,54]),
[iquote('0:Res:13272.0,54.0')] ).
cnf(14830,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14758,13272]),
[iquote('0:MRR:14758.0,13272.0')] ).
cnf(14834,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[128,14830]),
[iquote('0:MRR:128.2,128.1,128.0,14830.0')] ).
cnf(14849,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[76,14830]),
[iquote('0:MRR:76.1,14830.0')] ).
cnf(14851,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2317,14830]),
[iquote('0:MRR:2317.1,2317.0,14830.0')] ).
cnf(14883,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,w,x,w,v)
| eqangle(y,z,x1,x2,u,x,w,x) ),
inference(mrr,[status(thm)],[7586,14830]),
[iquote('0:MRR:7586.1,14830.0')] ).
cnf(15096,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[13452,14830]),
[iquote('0:MRR:13452.2,13452.1,14830.0')] ).
cnf(15160,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14757,14851]),
[iquote('0:MRR:14757.0,14757.1,14851.0,14851.0')] ).
cnf(15173,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[99,15160]),
[iquote('0:MRR:99.0,15160.0')] ).
cnf(15176,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[47,15160]),
[iquote('0:MRR:47.1,15160.0')] ).
cnf(15182,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14849,15160]),
[iquote('0:MRR:14849.0,15160.0')] ).
cnf(15348,plain,
para(skc17,skc21,skc17,skc17),
inference(res,[status(thm),theory(equality)],[14451,23]),
[iquote('0:Res:14451.0,23.0')] ).
cnf(15416,plain,
( ~ coll(skc21,u,skc17)
| ~ midp(skc17,u,skc17)
| midp(skc21,u,skc17) ),
inference(res,[status(thm),theory(equality)],[15348,85]),
[iquote('0:Res:15348.0,85.2')] ).
cnf(15515,plain,
cong(skc17,skc17,u,skc17),
inference(res,[status(thm),theory(equality)],[14157,15176]),
[iquote('0:Res:14157.0,15176.0')] ).
cnf(17470,plain,
cong(skc17,skc17,skc17,u),
inference(res,[status(thm),theory(equality)],[15515,29]),
[iquote('0:Res:15515.0,29.0')] ).
cnf(17844,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[15182,15173]),
[iquote('0:Res:15182.0,15173.0')] ).
cnf(18584,plain,
( ~ coll(skc17,skc17,u)
| midp(skc17,skc17,u) ),
inference(res,[status(thm),theory(equality)],[17470,46]),
[iquote('0:Res:17470.0,46.1')] ).
cnf(18590,plain,
coll(skc17,skc17,u),
inference(res,[status(thm),theory(equality)],[17470,3624]),
[iquote('0:Res:17470.0,3624.0')] ).
cnf(18623,plain,
midp(skc17,skc17,u),
inference(mrr,[status(thm)],[18584,18590]),
[iquote('0:MRR:18584.0,18590.0')] ).
cnf(18681,plain,
( ~ coll(skc17,skc17,u)
| coll(u,v,skc17) ),
inference(res,[status(thm),theory(equality)],[18590,33]),
[iquote('0:Res:18590.0,33.0')] ).
cnf(18688,plain,
coll(u,v,skc17),
inference(mrr,[status(thm)],[18681,18590]),
[iquote('0:MRR:18681.0,18590.0')] ).
cnf(18714,plain,
( ~ midp(skc17,u,skc17)
| midp(skc21,u,skc17) ),
inference(mrr,[status(thm)],[15416,18688]),
[iquote('0:MRR:15416.0,18688.0')] ).
cnf(18732,plain,
midp(skc17,u,skc17),
inference(res,[status(thm),theory(equality)],[18623,16]),
[iquote('0:Res:18623.0,16.0')] ).
cnf(18737,plain,
midp(skc21,u,skc17),
inference(mrr,[status(thm)],[18714,18732]),
[iquote('0:MRR:18714.0,18732.0')] ).
cnf(18742,plain,
( ~ midp(u,skc16,v)
| ~ coll(v,w,u)
| midp(v,w,u) ),
inference(mrr,[status(thm)],[11448,18737]),
[iquote('0:MRR:11448.2,18737.0')] ).
cnf(18775,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[17844,14834]),
[iquote('0:Res:17844.0,14834.0')] ).
cnf(18795,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[56,18775]),
[iquote('0:MRR:56.1,56.0,18775.0')] ).
cnf(19244,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[51,18795]),
[iquote('0:MRR:51.1,51.0,18795.0')] ).
cnf(19826,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[20,19244]),
[iquote('0:MRR:20.0,19244.0')] ).
cnf(19846,plain,
( ~ coll(u,skc16,v)
| midp(u,skc16,v) ),
inference(mrr,[status(thm)],[137,19244]),
[iquote('0:MRR:137.1,19244.0')] ).
cnf(19936,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(z,x1,y,w,x,v,x,u) ),
inference(mrr,[status(thm)],[9858,19244]),
[iquote('0:MRR:9858.0,19244.0')] ).
cnf(19964,plain,
( ~ eqangle(u,v,w,x,y,z,y,x1)
| eqangle(u,v,w,x,x2,z,y,z) ),
inference(mrr,[status(thm)],[14883,19244]),
[iquote('0:MRR:14883.0,19244.0')] ).
cnf(19973,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[15096,19244]),
[iquote('0:MRR:15096.0,19244.0')] ).
cnf(20312,plain,
( ~ midp(u,skc16,v)
| midp(v,w,u) ),
inference(mrr,[status(thm)],[18742,19826]),
[iquote('0:MRR:18742.1,19826.0')] ).
cnf(20405,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[53,19973]),
[iquote('0:MRR:53.1,53.0,19973.0')] ).
cnf(20502,plain,
( ~ midp(u,v,w)
| ~ eqangle(x,y,z,x1,x2,v,x3,v)
| eqangle(x,y,z,x1,x2,w,x3,u) ),
inference(mrr,[status(thm)],[7050,20405]),
[iquote('0:MRR:7050.1,20405.0')] ).
cnf(20542,plain,
midp(u,skc16,v),
inference(mrr,[status(thm)],[19846,19826]),
[iquote('0:MRR:19846.0,19826.0')] ).
cnf(20552,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[20312,20542]),
[iquote('0:MRR:20312.0,20542.0')] ).
cnf(20643,plain,
eqangle(u,v,w,x,y,z,y,x1),
inference(mrr,[status(thm)],[19936,20552,20405]),
[iquote('0:MRR:19936.0,19936.1,20552.0,20405.0')] ).
cnf(20644,plain,
eqangle(u,v,w,x,y,z,x1,z),
inference(mrr,[status(thm)],[19964,20643]),
[iquote('0:MRR:19964.0,20643.0')] ).
cnf(20657,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[20502,20552,20644]),
[iquote('0:MRR:20502.0,20502.1,20552.0,20644.0')] ).
cnf(20658,plain,
$false,
inference(unc,[status(thm)],[20657,19]),
[iquote('0:UnC:20657.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sat Jun 18 09:48:01 EDT 2022
% 0.08/0.28 % CPUTime :
% 16.27/16.46
% 16.27/16.46 SPASS V 3.9
% 16.27/16.46 SPASS beiseite: Proof found.
% 16.27/16.46 % SZS status Theorem
% 16.27/16.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.27/16.46 SPASS derived 19724 clauses, backtracked 0 clauses, performed 2 splits and kept 11574 clauses.
% 16.27/16.46 SPASS allocated 100766 KBytes.
% 16.27/16.46 SPASS spent 0:0:16.15 on the problem.
% 16.27/16.46 0:00:00.02 for the input.
% 16.27/16.46 0:00:00.18 for the FLOTTER CNF translation.
% 16.27/16.46 0:00:00.47 for inferences.
% 16.27/16.46 0:00:00.02 for the backtracking.
% 16.27/16.46 0:0:15.02 for the reduction.
% 16.27/16.46
% 16.27/16.46
% 16.27/16.46 Here is a proof with depth 9, length 164 :
% 16.27/16.46 % SZS output start Refutation
% See solution above
% 16.31/16.52 Formulae used in the proof : exemplo6GDDFULL81109105 ruleD1 ruleD2 ruleD11 ruleD69 ruleD66 ruleD68 ruleD4 ruleD5 ruleD8 ruleD16 ruleD23 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD44 ruleD46 ruleD67 ruleD52 ruleD9 ruleD12 ruleD17 ruleD25 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD72 ruleD50 ruleD45 ruleD42b ruleD73 ruleD54 ruleD48 ruleD57 ruleD22 ruleD43
% 16.31/16.52
%------------------------------------------------------------------------------