TSTP Solution File: GEO592+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:25:25 EDT 2022
% Result : Theorem 9.55s 9.73s
% Output : Refutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 25 unt; 5 nHn; 82 RR)
% Number of literals : 171 ( 0 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc13,skc19,skc20),
file('GEO592+1.p',unknown),
[] ).
cnf(14,axiom,
~ cong(skc16,skc12,skc16,skc20),
file('GEO592+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO592+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO592+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO592+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO592+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO592+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO592+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO592+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO592+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO592+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO592+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO592+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO592+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO592+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO592+1.p',unknown),
[] ).
cnf(121,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('GEO592+1.p',unknown),
[] ).
cnf(127,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('GEO592+1.p',unknown),
[] ).
cnf(267,plain,
midp(skc13,skc20,skc19),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.0')] ).
cnf(531,plain,
( ~ midp(skc13,u,v)
| para(u,skc19,v,skc20) ),
inference(res,[status(thm),theory(equality)],[2,44]),
[iquote('0:Res:2.0,44.0')] ).
cnf(656,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[41,39]),
[iquote('0:Res:41.1,39.0')] ).
cnf(1116,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,68]),
[iquote('0:Res:40.1,68.0')] ).
cnf(1189,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1221,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(1432,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,85]),
[iquote('0:Res:40.1,85.1')] ).
cnf(2585,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)],[40,121]),
[iquote('0:Res:40.1,121.0')] ).
cnf(2843,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)],[41,127]),
[iquote('0:Res:41.1,127.3')] ).
cnf(2845,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)],[2843]),
[iquote('0:Obv:2843.0')] ).
cnf(2846,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2845]),
[iquote('0:Con:2845.2')] ).
cnf(3076,plain,
( ~ midp(skc13,u,v)
| para(u,skc19,skc20,v) ),
inference(res,[status(thm),theory(equality)],[531,21]),
[iquote('0:Res:531.1,21.0')] ).
cnf(4053,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1189,68]),
[iquote('0:Res:1189.1,68.0')] ).
cnf(4064,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1189,85]),
[iquote('0:Res:1189.1,85.1')] ).
cnf(4082,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4064,4053]),
[iquote('0:MRR:4064.1,4053.1')] ).
cnf(4303,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1221,39]),
[iquote('0:Res:1221.1,39.0')] ).
cnf(4314,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)],[1221,127]),
[iquote('0:Res:1221.1,127.3')] ).
cnf(8586,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)],[1221,2585]),
[iquote('0:Res:1221.1,2585.1')] ).
cnf(12162,plain,
( ~ midp(skc13,skc20,skc19)
| cyclic(skc19,skc19,skc20,u) ),
inference(res,[status(thm),theory(equality)],[3076,4082]),
[iquote('0:Res:3076.1,4082.0')] ).
cnf(12165,plain,
cyclic(skc19,skc19,skc20,u),
inference(mrr,[status(thm)],[12162,267]),
[iquote('0:MRR:12162.0,267.0')] ).
cnf(12186,plain,
( ~ cong(skc19,u,skc19,u)
| ~ cong(skc19,skc20,skc19,skc20)
| perp(skc20,skc19,skc19,u) ),
inference(res,[status(thm),theory(equality)],[12165,101]),
[iquote('0:Res:12165.0,101.0')] ).
cnf(12187,plain,
( ~ cyclic(skc19,skc19,skc20,u)
| cyclic(skc19,skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[12165,53]),
[iquote('0:Res:12165.0,53.0')] ).
cnf(12191,plain,
para(skc20,skc19,skc20,skc19),
inference(res,[status(thm),theory(equality)],[12165,656]),
[iquote('0:Res:12165.0,656.0')] ).
cnf(12192,plain,
( ~ cyclic(skc19,skc19,skc20,skc19)
| cong(skc19,skc19,skc19,skc19) ),
inference(res,[status(thm),theory(equality)],[12165,2846]),
[iquote('0:Res:12165.0,2846.0')] ).
cnf(12196,plain,
cyclic(skc19,skc20,u,v),
inference(mrr,[status(thm)],[12187,12165]),
[iquote('0:MRR:12187.0,12165.0')] ).
cnf(12202,plain,
cong(skc19,skc19,skc19,skc19),
inference(mrr,[status(thm)],[12192,12165]),
[iquote('0:MRR:12192.0,12165.0')] ).
cnf(12254,plain,
( ~ cong(skc19,u,skc19,u)
| perp(skc19,skc19,u,skc19) ),
inference(res,[status(thm),theory(equality)],[12202,55]),
[iquote('0:Res:12202.0,55.0')] ).
cnf(12404,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12191,4303]),
[iquote('0:Res:12191.0,4303.0')] ).
cnf(12406,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1116,12404]),
[iquote('0:MRR:1116.0,12404.0')] ).
cnf(12407,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1432,12404]),
[iquote('0:MRR:1432.0,12404.0')] ).
cnf(12593,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[12406,27]),
[iquote('0:Res:12406.1,27.0')] ).
cnf(12600,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[12593,12407]),
[iquote('0:MRR:12593.0,12407.0')] ).
cnf(12644,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)],[4314,12600]),
[iquote('0:MRR:4314.3,12600.0')] ).
cnf(12878,plain,
cyclic(skc19,u,skc20,v),
inference(res,[status(thm),theory(equality)],[12196,26]),
[iquote('0:Res:12196.0,26.0')] ).
cnf(12881,plain,
( ~ cyclic(skc19,skc20,u,skc20)
| cong(skc19,skc20,skc19,skc20) ),
inference(res,[status(thm),theory(equality)],[12196,2846]),
[iquote('0:Res:12196.0,2846.0')] ).
cnf(12907,plain,
cong(skc19,skc20,skc19,skc20),
inference(mrr,[status(thm)],[12881,12196]),
[iquote('0:MRR:12881.0,12196.0')] ).
cnf(12908,plain,
( ~ cong(skc19,u,skc19,u)
| perp(skc20,skc19,skc19,u) ),
inference(mrr,[status(thm)],[12186,12907]),
[iquote('0:MRR:12186.1,12907.0')] ).
cnf(13153,plain,
( ~ cyclic(skc19,u,skc20,u)
| cong(skc19,u,skc19,u) ),
inference(res,[status(thm),theory(equality)],[12878,2846]),
[iquote('0:Res:12878.0,2846.0')] ).
cnf(13175,plain,
cong(skc19,u,skc19,u),
inference(mrr,[status(thm)],[13153,12878]),
[iquote('0:MRR:13153.0,12878.0')] ).
cnf(13176,plain,
perp(skc19,skc19,u,skc19),
inference(mrr,[status(thm)],[12254,13175]),
[iquote('0:MRR:12254.0,13175.0')] ).
cnf(13177,plain,
perp(skc20,skc19,skc19,u),
inference(mrr,[status(thm)],[12908,13175]),
[iquote('0:MRR:12908.0,13175.0')] ).
cnf(13186,plain,
( ~ perp(u,v,skc19,skc19)
| para(u,v,w,skc19) ),
inference(res,[status(thm),theory(equality)],[13176,50]),
[iquote('0:Res:13176.0,50.0')] ).
cnf(13216,plain,
perp(skc20,skc19,u,skc19),
inference(res,[status(thm),theory(equality)],[13177,23]),
[iquote('0:Res:13177.0,23.0')] ).
cnf(13345,plain,
( ~ para(u,v,skc20,skc19)
| perp(u,v,w,skc19) ),
inference(res,[status(thm),theory(equality)],[13216,51]),
[iquote('0:Res:13216.0,51.0')] ).
cnf(13723,plain,
( ~ cong(skc19,u,skc19,u)
| perp(skc19,skc19,u,v) ),
inference(res,[status(thm),theory(equality)],[13175,55]),
[iquote('0:Res:13175.0,55.0')] ).
cnf(13732,plain,
perp(skc19,skc19,u,v),
inference(mrr,[status(thm)],[13723,13175]),
[iquote('0:MRR:13723.0,13175.0')] ).
cnf(13907,plain,
( ~ perp(u,v,skc19,skc19)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13732,50]),
[iquote('0:Res:13732.0,50.0')] ).
cnf(13910,plain,
perp(u,v,skc19,skc19),
inference(res,[status(thm),theory(equality)],[13732,24]),
[iquote('0:Res:13732.0,24.0')] ).
cnf(13932,plain,
para(u,v,w,skc19),
inference(mrr,[status(thm)],[13186,13910]),
[iquote('0:MRR:13186.0,13910.0')] ).
cnf(13957,plain,
perp(u,v,w,skc19),
inference(mrr,[status(thm)],[13345,13932]),
[iquote('0:MRR:13345.0,13932.0')] ).
cnf(14837,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[13907,13957]),
[iquote('0:MRR:13907.0,13957.0')] ).
cnf(14838,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[19,14837]),
[iquote('0:MRR:19.0,14837.0')] ).
cnf(14971,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[8586,14837]),
[iquote('0:MRR:8586.1,8586.0,14837.0')] ).
cnf(15049,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,x) ),
inference(mrr,[status(thm)],[12644,14837]),
[iquote('0:MRR:12644.0,14837.0')] ).
cnf(15493,plain,
( ~ eqangle(u,v,u,w,x,v,x,w)
| cyclic(v,w,u,x) ),
inference(mrr,[status(thm)],[85,14838]),
[iquote('0:MRR:85.0,14838.0')] ).
cnf(15747,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[15493,14971]),
[iquote('0:MRR:15493.0,14971.0')] ).
cnf(15785,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[15049,15747]),
[iquote('0:MRR:15049.0,15049.1,15747.0,15747.0')] ).
cnf(15786,plain,
$false,
inference(unc,[status(thm)],[15785,14]),
[iquote('0:UnC:15785.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO592+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 12:05:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 9.55/9.73
% 9.55/9.73 SPASS V 3.9
% 9.55/9.73 SPASS beiseite: Proof found.
% 9.55/9.73 % SZS status Theorem
% 9.55/9.73 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.55/9.73 SPASS derived 15071 clauses, backtracked 0 clauses, performed 0 splits and kept 8965 clauses.
% 9.55/9.73 SPASS allocated 97691 KBytes.
% 9.55/9.73 SPASS spent 0:00:09.31 on the problem.
% 9.55/9.73 0:00:00.04 for the input.
% 9.55/9.73 0:00:00.25 for the FLOTTER CNF translation.
% 9.55/9.73 0:00:00.40 for inferences.
% 9.55/9.73 0:00:00.00 for the backtracking.
% 9.55/9.73 0:00:08.27 for the reduction.
% 9.55/9.73
% 9.55/9.73
% 9.55/9.73 Here is a proof with depth 8, length 82 :
% 9.55/9.73 % SZS output start Refutation
% See solution above
% 9.55/9.73 Formulae used in the proof : exemplo6GDDFULL416054 ruleD11 ruleD66 ruleD4 ruleD7 ruleD8 ruleD15 ruleD16 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD10 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD22 ruleD43
% 9.55/9.73
%------------------------------------------------------------------------------