TSTP Solution File: GEO649+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 06:25:43 EDT 2022
% Result : Theorem 27.82s 28.07s
% Output : Refutation 27.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 24
% Syntax : Number of clauses : 76 ( 25 unt; 2 nHn; 76 RR)
% Number of literals : 161 ( 0 equ; 84 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 : 18 ( 18 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc31,skc19,skc16),
file('GEO649+1.p',unknown),
[] ).
cnf(11,axiom,
perp(skc19,skc22,skc30,skc17),
file('GEO649+1.p',unknown),
[] ).
cnf(14,axiom,
~ para(skc18,skc16,skc20,skc21),
file('GEO649+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO649+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO649+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO649+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO649+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO649+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO649+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO649+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO649+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO649+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO649+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO649+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO649+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('GEO649+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('GEO649+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('GEO649+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO649+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('GEO649+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO649+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO649+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('GEO649+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('GEO649+1.p',unknown),
[] ).
cnf(239,plain,
( ~ midp(skc31,u,v)
| para(skc19,u,skc16,v) ),
inference(res,[status(thm),theory(equality)],[1,44]),
[iquote('0:Res:1.0,44.0')] ).
cnf(241,plain,
midp(skc31,skc16,skc19),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(243,plain,
( ~ midp(skc31,u,v)
| para(u,skc19,v,skc16) ),
inference(res,[status(thm),theory(equality)],[1,44]),
[iquote('0:Res:1.0,44.1')] ).
cnf(645,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[43,39]),
[iquote('0:Res:43.1,39.0')] ).
cnf(647,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(948,plain,
( ~ perp(u,v,skc19,skc22)
| para(u,v,skc30,skc17) ),
inference(res,[status(thm),theory(equality)],[11,50]),
[iquote('0:Res:11.0,50.0')] ).
cnf(1399,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(1431,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(3112,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)],[96,127]),
[iquote('0:Res:96.2,127.3')] ).
cnf(3113,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(3115,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)],[3113]),
[iquote('0:Obv:3113.0')] ).
cnf(3116,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3115]),
[iquote('0:Con:3115.2')] ).
cnf(3403,plain,
( ~ midp(skc31,u,v)
| para(skc19,u,v,skc16) ),
inference(res,[status(thm),theory(equality)],[239,21]),
[iquote('0:Res:239.1,21.0')] ).
cnf(3552,plain,
( ~ midp(skc31,u,v)
| para(u,skc19,skc16,v) ),
inference(res,[status(thm),theory(equality)],[243,21]),
[iquote('0:Res:243.1,21.0')] ).
cnf(4087,plain,
( ~ perp(u,v,skc19,skc22)
| para(skc30,skc17,u,v) ),
inference(res,[status(thm),theory(equality)],[948,22]),
[iquote('0:Res:948.1,22.0')] ).
cnf(5093,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1399,68]),
[iquote('0:Res:1399.1,68.0')] ).
cnf(5104,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1399,85]),
[iquote('0:Res:1399.1,85.1')] ).
cnf(5118,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5104,5093]),
[iquote('0:MRR:5104.1,5093.1')] ).
cnf(5350,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1431,39]),
[iquote('0:Res:1431.1,39.0')] ).
cnf(17293,plain,
( ~ perp(u,v,skc19,skc22)
| ~ para(w,x,skc30,skc17)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[4087,49]),
[iquote('0:Res:4087.1,49.0')] ).
cnf(17809,plain,
( ~ midp(skc31,skc16,skc19)
| cyclic(skc19,skc19,skc16,u) ),
inference(res,[status(thm),theory(equality)],[3552,5118]),
[iquote('0:Res:3552.1,5118.0')] ).
cnf(17815,plain,
( ~ midp(skc31,skc16,skc19)
| cyclic(skc16,skc16,skc19,u) ),
inference(res,[status(thm),theory(equality)],[3403,5118]),
[iquote('0:Res:3403.1,5118.0')] ).
cnf(17822,plain,
cyclic(skc19,skc19,skc16,u),
inference(mrr,[status(thm)],[17809,241]),
[iquote('0:MRR:17809.0,241.0')] ).
cnf(17825,plain,
cyclic(skc16,skc16,skc19,u),
inference(mrr,[status(thm)],[17815,241]),
[iquote('0:MRR:17815.0,241.0')] ).
cnf(17864,plain,
( ~ cyclic(skc19,skc19,skc16,u)
| cyclic(skc19,skc16,u,v) ),
inference(res,[status(thm),theory(equality)],[17822,53]),
[iquote('0:Res:17822.0,53.0')] ).
cnf(17868,plain,
para(skc16,skc19,skc16,skc19),
inference(res,[status(thm),theory(equality)],[17822,647]),
[iquote('0:Res:17822.0,647.0')] ).
cnf(17880,plain,
cyclic(skc19,skc16,u,v),
inference(mrr,[status(thm)],[17864,17822]),
[iquote('0:MRR:17864.0,17822.0')] ).
cnf(17929,plain,
para(skc16,skc19,skc19,skc16),
inference(res,[status(thm),theory(equality)],[17868,21]),
[iquote('0:Res:17868.0,21.0')] ).
cnf(18014,plain,
para(skc19,skc16,skc16,skc19),
inference(res,[status(thm),theory(equality)],[17929,22]),
[iquote('0:Res:17929.0,22.0')] ).
cnf(18113,plain,
para(skc19,skc16,skc19,skc16),
inference(res,[status(thm),theory(equality)],[18014,21]),
[iquote('0:Res:18014.0,21.0')] ).
cnf(18195,plain,
( ~ cyclic(skc19,skc16,skc19,skc16)
| ~ cyclic(skc16,skc16,skc19,skc16)
| ~ cyclic(skc16,skc16,skc19,skc16)
| ~ cyclic(skc16,skc16,skc19,skc19)
| cong(skc16,skc16,skc16,skc16) ),
inference(res,[status(thm),theory(equality)],[18113,3112]),
[iquote('0:Res:18113.0,3112.0')] ).
cnf(18225,plain,
( ~ cyclic(skc19,skc16,skc19,skc16)
| ~ cyclic(skc16,skc16,skc19,skc16)
| ~ cyclic(skc16,skc16,skc19,skc19)
| cong(skc16,skc16,skc16,skc16) ),
inference(obv,[status(thm),theory(equality)],[18195]),
[iquote('0:Obv:18195.1')] ).
cnf(18226,plain,
cong(skc16,skc16,skc16,skc16),
inference(mrr,[status(thm)],[18225,17880,17825]),
[iquote('0:MRR:18225.0,18225.1,18225.2,17880.0,17825.0,17825.0')] ).
cnf(18304,plain,
para(skc16,skc16,skc16,skc16),
inference(res,[status(thm),theory(equality)],[18226,645]),
[iquote('0:Res:18226.0,645.0')] ).
cnf(19359,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[18304,5350]),
[iquote('0:Res:18304.0,5350.0')] ).
cnf(19399,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5118,19359]),
[iquote('0:MRR:5118.0,19359.0')] ).
cnf(21075,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[19399,101]),
[iquote('0:Res:19399.0,101.0')] ).
cnf(21076,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19399,53]),
[iquote('0:Res:19399.0,53.0')] ).
cnf(21280,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[21076,19399]),
[iquote('0:MRR:21076.0,19399.0')] ).
cnf(21284,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[127,21280]),
[iquote('0:MRR:127.2,127.1,127.0,21280.0')] ).
cnf(21299,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[75,21280]),
[iquote('0:MRR:75.1,21280.0')] ).
cnf(21300,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3116,21280]),
[iquote('0:MRR:3116.1,3116.0,21280.0')] ).
cnf(21864,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[21075,21300]),
[iquote('0:MRR:21075.0,21075.1,21300.0,21300.0')] ).
cnf(21874,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[98,21864]),
[iquote('0:MRR:98.0,21864.0')] ).
cnf(21886,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[21299,21864]),
[iquote('0:MRR:21299.0,21864.0')] ).
cnf(25924,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[21886,21874]),
[iquote('0:Res:21886.0,21874.0')] ).
cnf(26860,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[25924,21284]),
[iquote('0:Res:25924.0,21284.0')] ).
cnf(26881,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,26860]),
[iquote('0:MRR:55.1,55.0,26860.0')] ).
cnf(26929,plain,
para(u,v,skc30,skc17),
inference(mrr,[status(thm)],[948,26881]),
[iquote('0:MRR:948.0,26881.0')] ).
cnf(27427,plain,
( ~ para(u,v,skc30,skc17)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[17293,26881]),
[iquote('0:MRR:17293.0,26881.0')] ).
cnf(28829,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[27427,26929]),
[iquote('0:MRR:27427.0,26929.0')] ).
cnf(28830,plain,
$false,
inference(unc,[status(thm)],[28829,14]),
[iquote('0:UnC:28829.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO649+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 05:05:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.82/28.07
% 27.82/28.07 SPASS V 3.9
% 27.82/28.07 SPASS beiseite: Proof found.
% 27.82/28.07 % SZS status Theorem
% 27.82/28.07 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.82/28.07 SPASS derived 27673 clauses, backtracked 0 clauses, performed 5 splits and kept 16755 clauses.
% 27.82/28.07 SPASS allocated 106370 KBytes.
% 27.82/28.07 SPASS spent 0:0:27.52 on the problem.
% 27.82/28.07 0:00:00.04 for the input.
% 27.82/28.07 0:00:00.21 for the FLOTTER CNF translation.
% 27.82/28.07 0:00:00.63 for inferences.
% 27.82/28.07 0:00:00.43 for the backtracking.
% 27.82/28.07 0:0:25.55 for the reduction.
% 27.82/28.07
% 27.82/28.07
% 27.82/28.07 Here is a proof with depth 10, length 76 :
% 27.82/28.07 % SZS output start Refutation
% See solution above
% 27.82/28.07 Formulae used in the proof : exemplo6GDDFULLmoreE02210 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD46 ruleD63 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD54 ruleD48 ruleD57 ruleD43
% 27.82/28.07
%------------------------------------------------------------------------------