TSTP Solution File: GEO635+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:25:38 EDT 2022
% Result : Theorem 19.02s 19.24s
% Output : Refutation 19.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 33
% Syntax : Number of clauses : 126 ( 51 unt; 5 nHn; 126 RR)
% Number of literals : 242 ( 0 equ; 114 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc14,skc13),
file('GEO635+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc11,skc9,skc10),
file('GEO635+1.p',unknown),
[] ).
cnf(4,axiom,
circle(skc12,skc14,skc13,skc9),
file('GEO635+1.p',unknown),
[] ).
cnf(6,axiom,
~ para(skc14,skc13,skc11,skc15),
file('GEO635+1.p',unknown),
[] ).
cnf(7,axiom,
eqangle(skc14,skc9,skc9,skc10,skc15,skc9,skc9,skc13),
file('GEO635+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO635+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO635+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO635+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO635+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO635+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO635+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO635+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO635+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO635+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO635+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ circle(u,v,w,x)
| ~ eqangle(v,y,v,w,x,v,x,w)
| perp(u,v,v,y) ),
file('GEO635+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO635+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ coll(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(y,v,y,w,x,v,x,u)
| midp(u,v,w) ),
file('GEO635+1.p',unknown),
[] ).
cnf(114,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('GEO635+1.p',unknown),
[] ).
cnf(120,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('GEO635+1.p',unknown),
[] ).
cnf(123,plain,
coll(skc11,skc10,skc9),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.0')] ).
cnf(126,plain,
( ~ coll(skc11,skc9,u)
| coll(u,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[2,25]),
[iquote('0:Res:2.0,25.1')] ).
cnf(146,plain,
coll(skc10,skc13,skc14),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(147,plain,
coll(skc14,skc10,skc13),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(178,plain,
( ~ perp(skc12,skc14,skc14,u)
| eqangle(skc14,u,skc14,skc13,skc9,skc14,skc9,skc13) ),
inference(res,[status(thm),theory(equality)],[4,91]),
[iquote('0:Res:4.0,91.0')] ).
cnf(179,plain,
( ~ eqangle(skc14,u,skc14,skc13,skc9,skc14,skc9,skc13)
| perp(skc12,skc14,skc14,u) ),
inference(res,[status(thm),theory(equality)],[4,90]),
[iquote('0:Res:4.0,90.0')] ).
cnf(204,plain,
( ~ midp(u,skc13,skc15)
| ~ midp(u,skc14,skc11) ),
inference(res,[status(thm),theory(equality)],[37,6]),
[iquote('0:Res:37.2,6.0')] ).
cnf(207,plain,
( ~ eqangle(skc15,skc9,skc9,skc13,u,v,w,x)
| eqangle(skc14,skc9,skc9,skc10,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[7,114]),
[iquote('0:Res:7.0,114.0')] ).
cnf(212,plain,
eqangle(skc15,skc9,skc9,skc13,skc14,skc9,skc9,skc10),
inference(res,[status(thm),theory(equality)],[7,55]),
[iquote('0:Res:7.0,55.0')] ).
cnf(229,plain,
coll(skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[2,126]),
[iquote('0:Res:2.0,126.0')] ).
cnf(256,plain,
coll(skc10,skc11,skc9),
inference(res,[status(thm),theory(equality)],[123,9]),
[iquote('0:Res:123.0,9.0')] ).
cnf(264,plain,
coll(skc14,skc13,skc10),
inference(res,[status(thm),theory(equality)],[147,8]),
[iquote('0:Res:147.0,8.0')] ).
cnf(379,plain,
( ~ coll(skc14,skc13,u)
| coll(u,skc10,skc14) ),
inference(res,[status(thm),theory(equality)],[264,25]),
[iquote('0:Res:264.0,25.0')] ).
cnf(381,plain,
( ~ coll(skc14,skc10,u)
| coll(u,skc13,skc14) ),
inference(res,[status(thm),theory(equality)],[147,25]),
[iquote('0:Res:147.0,25.0')] ).
cnf(382,plain,
( ~ coll(skc10,skc13,u)
| coll(u,skc14,skc10) ),
inference(res,[status(thm),theory(equality)],[146,25]),
[iquote('0:Res:146.0,25.0')] ).
cnf(385,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[256,25]),
[iquote('0:Res:256.0,25.0')] ).
cnf(389,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[229,25]),
[iquote('0:Res:229.0,25.0')] ).
cnf(418,plain,
coll(skc10,skc10,skc14),
inference(res,[status(thm),theory(equality)],[264,379]),
[iquote('0:Res:264.0,379.0')] ).
cnf(444,plain,
coll(skc14,skc14,skc10),
inference(res,[status(thm),theory(equality)],[146,382]),
[iquote('0:Res:146.0,382.0')] ).
cnf(448,plain,
coll(skc14,skc10,skc14),
inference(res,[status(thm),theory(equality)],[444,8]),
[iquote('0:Res:444.0,8.0')] ).
cnf(450,plain,
coll(skc14,skc13,skc14),
inference(res,[status(thm),theory(equality)],[448,381]),
[iquote('0:Res:448.0,381.0')] ).
cnf(456,plain,
coll(skc14,skc14,skc13),
inference(res,[status(thm),theory(equality)],[450,8]),
[iquote('0:Res:450.0,8.0')] ).
cnf(537,plain,
coll(skc14,skc11,skc10),
inference(res,[status(thm),theory(equality)],[418,389]),
[iquote('0:Res:418.0,389.0')] ).
cnf(543,plain,
coll(skc14,skc10,skc11),
inference(res,[status(thm),theory(equality)],[537,8]),
[iquote('0:Res:537.0,8.0')] ).
cnf(554,plain,
coll(skc10,skc14,skc11),
inference(res,[status(thm),theory(equality)],[543,9]),
[iquote('0:Res:543.0,9.0')] ).
cnf(569,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(577,plain,
coll(skc10,skc11,skc14),
inference(res,[status(thm),theory(equality)],[554,8]),
[iquote('0:Res:554.0,8.0')] ).
cnf(602,plain,
coll(skc14,skc9,skc10),
inference(res,[status(thm),theory(equality)],[577,385]),
[iquote('0:Res:577.0,385.0')] ).
cnf(673,plain,
coll(skc14,skc10,skc9),
inference(res,[status(thm),theory(equality)],[602,8]),
[iquote('0:Res:602.0,8.0')] ).
cnf(700,plain,
coll(skc9,skc13,skc14),
inference(res,[status(thm),theory(equality)],[673,381]),
[iquote('0:Res:673.0,381.0')] ).
cnf(765,plain,
coll(skc9,skc14,skc13),
inference(res,[status(thm),theory(equality)],[700,8]),
[iquote('0:Res:700.0,8.0')] ).
cnf(823,plain,
coll(skc14,skc9,skc13),
inference(res,[status(thm),theory(equality)],[765,9]),
[iquote('0:Res:765.0,9.0')] ).
cnf(1181,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,61]),
[iquote('0:Res:33.1,61.0')] ).
cnf(1258,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1300,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(1720,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,78]),
[iquote('0:Res:33.1,78.1')] ).
cnf(3029,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[33,114]),
[iquote('0:Res:33.1,114.0')] ).
cnf(3192,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(3197,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)],[3192]),
[iquote('0:Obv:3192.0')] ).
cnf(3198,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3197]),
[iquote('0:Con:3197.2')] ).
cnf(4089,plain,
( ~ perp(skc12,skc14,skc14,skc14)
| ~ coll(skc14,skc9,skc13)
| cyclic(skc14,skc13,skc14,skc9) ),
inference(res,[status(thm),theory(equality)],[178,78]),
[iquote('0:Res:178.1,78.1')] ).
cnf(4094,plain,
( ~ perp(skc12,skc14,skc14,skc14)
| cyclic(skc14,skc13,skc14,skc9) ),
inference(mrr,[status(thm)],[4089,823]),
[iquote('0:MRR:4089.1,823.0')] ).
cnf(4291,plain,
( ~ cyclic(skc14,skc13,skc14,skc9)
| perp(skc12,skc14,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[34,179]),
[iquote('0:Res:34.1,179.0')] ).
cnf(4586,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1258,61]),
[iquote('0:Res:1258.1,61.0')] ).
cnf(4591,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1258,78]),
[iquote('0:Res:1258.1,78.1')] ).
cnf(4602,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4591,4586]),
[iquote('0:MRR:4591.1,4586.1')] ).
cnf(4932,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)],[1300,120]),
[iquote('0:Res:1300.1,120.3')] ).
cnf(4935,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1300,32]),
[iquote('0:Res:1300.1,32.0')] ).
cnf(6136,plain,
eqangle(skc14,skc9,skc9,skc10,skc14,skc9,skc9,skc10),
inference(res,[status(thm),theory(equality)],[212,207]),
[iquote('0:Res:212.0,207.0')] ).
cnf(6150,plain,
para(skc14,skc9,skc14,skc9),
inference(res,[status(thm),theory(equality)],[6136,32]),
[iquote('0:Res:6136.0,32.0')] ).
cnf(6162,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc9,u,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[6150,1720]),
[iquote('0:Res:6150.0,1720.0')] ).
cnf(7523,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc9,skc14,u,skc14) ),
inference(res,[status(thm),theory(equality)],[6162,19]),
[iquote('0:Res:6162.1,19.0')] ).
cnf(7598,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc14,skc9,u,skc14) ),
inference(res,[status(thm),theory(equality)],[7523,20]),
[iquote('0:Res:7523.1,20.0')] ).
cnf(7746,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc14,u,skc9,skc14) ),
inference(res,[status(thm),theory(equality)],[7598,19]),
[iquote('0:Res:7598.1,19.0')] ).
cnf(7916,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc14,u,skc14,skc9) ),
inference(res,[status(thm),theory(equality)],[7746,18]),
[iquote('0:Res:7746.1,18.0')] ).
cnf(9676,plain,
( ~ perp(skc12,skc14,skc14,skc14)
| cyclic(skc14,skc13,skc9,skc14) ),
inference(res,[status(thm),theory(equality)],[4094,18]),
[iquote('0:Res:4094.1,18.0')] ).
cnf(10007,plain,
( ~ coll(skc14,skc14,skc13)
| perp(skc12,skc14,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[7916,4291]),
[iquote('0:Res:7916.1,4291.0')] ).
cnf(10009,plain,
perp(skc12,skc14,skc14,skc14),
inference(mrr,[status(thm)],[10007,456]),
[iquote('0:MRR:10007.0,456.0')] ).
cnf(10015,plain,
cyclic(skc14,skc13,skc9,skc14),
inference(mrr,[status(thm)],[9676,10009]),
[iquote('0:MRR:9676.0,10009.0')] ).
cnf(10059,plain,
cyclic(skc13,skc14,skc9,skc14),
inference(res,[status(thm),theory(equality)],[10015,20]),
[iquote('0:Res:10015.0,20.0')] ).
cnf(10136,plain,
cyclic(skc13,skc9,skc14,skc14),
inference(res,[status(thm),theory(equality)],[10059,19]),
[iquote('0:Res:10059.0,19.0')] ).
cnf(10223,plain,
para(skc14,skc13,skc14,skc13),
inference(res,[status(thm),theory(equality)],[10136,569]),
[iquote('0:Res:10136.0,569.0')] ).
cnf(11078,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1300,3029]),
[iquote('0:Res:1300.1,3029.1')] ).
cnf(14174,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[10223,4935]),
[iquote('0:Res:10223.0,4935.0')] ).
cnf(14203,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1181,14174]),
[iquote('0:MRR:1181.0,14174.0')] ).
cnf(14204,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1720,14174]),
[iquote('0:MRR:1720.0,14174.0')] ).
cnf(14206,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4602,14174]),
[iquote('0:MRR:4602.0,14174.0')] ).
cnf(14380,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[14203,20]),
[iquote('0:Res:14203.1,20.0')] ).
cnf(14424,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[14380,14204]),
[iquote('0:MRR:14380.0,14204.0')] ).
cnf(14467,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)],[4932,14424]),
[iquote('0:MRR:4932.3,14424.0')] ).
cnf(16359,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[14206,94]),
[iquote('0:Res:14206.0,94.0')] ).
cnf(16360,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14206,46]),
[iquote('0:Res:14206.0,46.0')] ).
cnf(16461,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16360,14206]),
[iquote('0:MRR:16360.0,14206.0')] ).
cnf(16465,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,16461]),
[iquote('0:MRR:120.2,120.1,120.0,16461.0')] ).
cnf(16480,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,16461]),
[iquote('0:MRR:68.1,16461.0')] ).
cnf(16482,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3198,16461]),
[iquote('0:MRR:3198.1,3198.0,16461.0')] ).
cnf(16550,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[14467,16461]),
[iquote('0:MRR:14467.2,14467.1,16461.0')] ).
cnf(17036,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16359,16482]),
[iquote('0:MRR:16359.0,16359.1,16482.0,16482.0')] ).
cnf(17048,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,17036]),
[iquote('0:MRR:91.0,17036.0')] ).
cnf(17070,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[16480,17036]),
[iquote('0:MRR:16480.0,17036.0')] ).
cnf(19050,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[17070,17048]),
[iquote('0:Res:17070.0,17048.0')] ).
cnf(22667,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[19050,16465]),
[iquote('0:Res:19050.0,16465.0')] ).
cnf(22710,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,22667]),
[iquote('0:MRR:48.1,48.0,22667.0')] ).
cnf(22732,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[43,22710]),
[iquote('0:MRR:43.1,43.0,22710.0')] ).
cnf(23939,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[12,22732]),
[iquote('0:MRR:12.0,22732.0')] ).
cnf(23962,plain,
( ~ midp(u,v,w)
| midp(u,x,y) ),
inference(mrr,[status(thm)],[87,22732]),
[iquote('0:MRR:87.2,87.1,22732.0')] ).
cnf(24002,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[11078,22732]),
[iquote('0:MRR:11078.1,11078.0,22732.0')] ).
cnf(24066,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[16550,22732]),
[iquote('0:MRR:16550.0,22732.0')] ).
cnf(24644,plain,
( ~ circle(u,v,w,x)
| ~ eqangle(v,w,v,x,u,w,u,y)
| midp(y,w,x) ),
inference(mrr,[status(thm)],[106,23939]),
[iquote('0:MRR:106.0,23939.0')] ).
cnf(24815,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[45,24066]),
[iquote('0:MRR:45.1,45.0,24066.0')] ).
cnf(25375,plain,
~ midp(u,skc14,skc11),
inference(mrr,[status(thm)],[204,23962]),
[iquote('0:MRR:204.0,23962.1')] ).
cnf(25453,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[24644,24815,24002]),
[iquote('0:MRR:24644.0,24644.1,24815.0,24002.0')] ).
cnf(25454,plain,
$false,
inference(unc,[status(thm)],[25453,25375]),
[iquote('0:UnC:25453.0,25375.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 20:01:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.02/19.24
% 19.02/19.24 SPASS V 3.9
% 19.02/19.24 SPASS beiseite: Proof found.
% 19.02/19.24 % SZS status Theorem
% 19.02/19.24 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.02/19.24 SPASS derived 23601 clauses, backtracked 1925 clauses, performed 4 splits and kept 14137 clauses.
% 19.02/19.24 SPASS allocated 103263 KBytes.
% 19.02/19.24 SPASS spent 0:0:18.87 on the problem.
% 19.02/19.24 0:00:00.04 for the input.
% 19.02/19.24 0:00:00.23 for the FLOTTER CNF translation.
% 19.02/19.24 0:00:00.35 for inferences.
% 19.02/19.24 0:00:00.27 for the backtracking.
% 19.02/19.24 0:0:17.63 for the reduction.
% 19.02/19.24
% 19.02/19.24
% 19.02/19.24 Here is a proof with depth 13, length 126 :
% 19.02/19.24 % SZS output start Refutation
% See solution above
% 19.15/19.32 Formulae used in the proof : exemplo6GDDFULL8110998 ruleD1 ruleD2 ruleD66 ruleD14 ruleD15 ruleD16 ruleD3 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD12 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD64 ruleD49 ruleD48 ruleD57 ruleD51 ruleD22 ruleD43
% 19.15/19.32
%------------------------------------------------------------------------------