TSTP Solution File: GEO591+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO591+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 06:25:24 EDT 2022
% Result : Theorem 28.23s 28.40s
% Output : Refutation 28.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of clauses : 71 ( 18 unt; 5 nHn; 71 RR)
% Number of literals : 167 ( 0 equ; 92 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 : 13 ( 13 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
perp(skc14,skc9,skc9,skc10),
file('GEO591+1.p',unknown),
[] ).
cnf(8,axiom,
~ cong(skc14,skc10,skc14,skc11),
file('GEO591+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO591+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO591+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO591+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO591+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO591+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO591+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqratio(u,v,w,x,y,z,x1,x2)
| eqratio(v,u,w,x,y,z,x1,x2) ),
file('GEO591+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ cong(u,v,w,x)
| ~ eqratio(y,z,x1,x2,u,v,w,x)
| cong(y,z,x1,x2) ),
file('GEO591+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO591+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO591+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(u,x,x,y,u,v,v,w) ),
file('GEO591+1.p',unknown),
[] ).
cnf(121,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('GEO591+1.p',unknown),
[] ).
cnf(248,plain,
( ~ perp(skc9,skc10,u,v)
| para(skc14,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[4,44]),
[iquote('0:Res:4.0,44.0')] ).
cnf(250,plain,
perp(skc9,skc10,skc14,skc9),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.0')] ).
cnf(324,plain,
( ~ perp(skc9,skc10,u,v)
| para(u,v,skc14,skc9) ),
inference(res,[status(thm),theory(equality)],[248,16]),
[iquote('0:Res:248.1,16.0')] ).
cnf(1226,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,62]),
[iquote('0:Res:34.1,62.0')] ).
cnf(1314,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[34,57]),
[iquote('0:Res:34.1,57.0')] ).
cnf(1351,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(1602,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,79]),
[iquote('0:Res:34.1,79.1')] ).
cnf(1772,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(x,u,w,x,w,x,w,v) ),
inference(res,[status(thm),theory(equality)],[90,54]),
[iquote('0:Res:90.2,54.0')] ).
cnf(2141,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(x,u,x,y,u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[106,58]),
[iquote('0:Res:106.3,58.0')] ).
cnf(2422,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)],[35,121]),
[iquote('0:Res:35.1,121.3')] ).
cnf(2424,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)],[2422]),
[iquote('0:Obv:2422.0')] ).
cnf(2425,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2424]),
[iquote('0:Con:2424.2')] ).
cnf(5118,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1314,62]),
[iquote('0:Res:1314.1,62.0')] ).
cnf(5129,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1314,79]),
[iquote('0:Res:1314.1,79.1')] ).
cnf(5143,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5129,5118]),
[iquote('0:MRR:5129.1,5118.1')] ).
cnf(5516,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1351,33]),
[iquote('0:Res:1351.1,33.0')] ).
cnf(9086,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(res,[status(thm),theory(equality)],[1772,121]),
[iquote('0:Res:1772.2,121.3')] ).
cnf(9092,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(obv,[status(thm),theory(equality)],[9086]),
[iquote('0:Obv:9086.2')] ).
cnf(19710,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(res,[status(thm),theory(equality)],[2141,85]),
[iquote('0:Res:2141.3,85.1')] ).
cnf(23948,plain,
( ~ perp(skc9,skc10,skc14,skc9)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[324,5516]),
[iquote('0:Res:324.1,5516.0')] ).
cnf(23971,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[23948,250]),
[iquote('0:MRR:23948.0,250.0')] ).
cnf(23972,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1226,23971]),
[iquote('0:MRR:1226.0,23971.0')] ).
cnf(23973,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1602,23971]),
[iquote('0:MRR:1602.0,23971.0')] ).
cnf(23975,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5143,23971]),
[iquote('0:MRR:5143.0,23971.0')] ).
cnf(24126,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[23972,21]),
[iquote('0:Res:23972.1,21.0')] ).
cnf(24136,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[24126,23973]),
[iquote('0:MRR:24126.0,23973.0')] ).
cnf(24147,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,w,w,v)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[9092,24136]),
[iquote('0:MRR:9092.3,9092.1,24136.0')] ).
cnf(26990,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[23975,95]),
[iquote('0:Res:23975.0,95.0')] ).
cnf(26991,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[23975,47]),
[iquote('0:Res:23975.0,47.0')] ).
cnf(27040,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[26991,23975]),
[iquote('0:MRR:26991.0,23975.0')] ).
cnf(27044,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[121,27040]),
[iquote('0:MRR:121.2,121.1,121.0,27040.0')] ).
cnf(27059,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[69,27040]),
[iquote('0:MRR:69.1,27040.0')] ).
cnf(27061,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2425,27040]),
[iquote('0:MRR:2425.0,2425.1,27040.0')] ).
cnf(27204,plain,
( ~ para(u,v,w,w)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[24147,27040]),
[iquote('0:MRR:24147.1,27040.0')] ).
cnf(27302,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[26990,27061]),
[iquote('0:MRR:26990.0,26990.1,27061.0,27061.0')] ).
cnf(27308,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[92,27302]),
[iquote('0:MRR:92.0,27302.0')] ).
cnf(27331,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[27059,27302]),
[iquote('0:MRR:27059.0,27302.0')] ).
cnf(29707,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[27331,27308]),
[iquote('0:Res:27331.0,27308.0')] ).
cnf(30850,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[29707,27044]),
[iquote('0:Res:29707.0,27044.0')] ).
cnf(33432,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[49,30850]),
[iquote('0:MRR:49.1,49.0,30850.0')] ).
cnf(33528,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[44,33432]),
[iquote('0:MRR:44.1,44.0,33432.0')] ).
cnf(33764,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[13,33528]),
[iquote('0:MRR:13.0,33528.0')] ).
cnf(33912,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(mrr,[status(thm)],[19710,33528]),
[iquote('0:MRR:19710.2,33528.0')] ).
cnf(33924,plain,
cong(u,v,v,w),
inference(mrr,[status(thm)],[27204,33528]),
[iquote('0:MRR:27204.0,33528.0')] ).
cnf(34146,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[33912,33764,33924]),
[iquote('0:MRR:33912.0,33912.1,33912.2,33764.0,33764.0,33924.0')] ).
cnf(34147,plain,
$false,
inference(unc,[status(thm)],[34146,8]),
[iquote('0:UnC:34146.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.10 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Fri Jun 17 22:56:16 EDT 2022
% 0.10/0.30 % CPUTime :
% 28.23/28.40
% 28.23/28.40 SPASS V 3.9
% 28.23/28.40 SPASS beiseite: Proof found.
% 28.23/28.40 % SZS status Theorem
% 28.23/28.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.23/28.40 SPASS derived 32942 clauses, backtracked 4324 clauses, performed 4 splits and kept 19320 clauses.
% 28.23/28.40 SPASS allocated 109350 KBytes.
% 28.23/28.40 SPASS spent 0:0:27.95 on the problem.
% 28.23/28.40 0:00:00.03 for the input.
% 28.23/28.40 0:00:00.21 for the FLOTTER CNF translation.
% 28.23/28.40 0:00:00.86 for inferences.
% 28.23/28.40 0:00:01.52 for the backtracking.
% 28.23/28.40 0:0:24.39 for the reduction.
% 28.23/28.40
% 28.23/28.40
% 28.23/28.40 Here is a proof with depth 3, length 71 :
% 28.23/28.40 % SZS output start Refutation
% See solution above
% 28.23/28.40 Formulae used in the proof : exemplo6GDDFULL416053 ruleD66 ruleD5 ruleD8 ruleD16 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD26 ruleD42a ruleX14 ruleD42b ruleD75 ruleD54 ruleD48 ruleD57 ruleD65 ruleD43
% 28.23/28.40
%------------------------------------------------------------------------------