TSTP Solution File: GEO590+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 19.53s 19.70s
% Output : Refutation 19.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of clauses : 79 ( 23 unt; 5 nHn; 79 RR)
% Number of literals : 179 ( 0 equ; 96 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc9,skc10,skc11),
file('GEO590+1.p',unknown),
[] ).
cnf(7,axiom,
~ cong(skc7,skc6,skc7,skc8),
file('GEO590+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO590+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO590+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO590+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO590+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO590+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO590+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO590+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO590+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO590+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO590+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO590+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO590+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO590+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('GEO590+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('GEO590+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqratio(u,v,w,x,y,z,x1,x2)
| eqratio(v,u,w,x,y,z,x1,x2) ),
file('GEO590+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('GEO590+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('GEO590+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('GEO590+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ cong(u,v,w,x)
| ~ eqratio(y,z,x1,x2,u,v,w,x)
| cong(y,z,x1,x2) ),
file('GEO590+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO590+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('GEO590+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('GEO590+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(u,x,x,y,u,v,v,w) ),
file('GEO590+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('GEO590+1.p',unknown),
[] ).
cnf(182,plain,
midp(skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(184,plain,
( ~ midp(skc9,u,v)
| para(u,skc10,v,skc11) ),
inference(res,[status(thm),theory(equality)],[1,37]),
[iquote('0:Res:1.0,37.1')] ).
cnf(609,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(1389,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(1461,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(1493,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(1835,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(2028,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)],[89,53]),
[iquote('0:Res:89.2,53.0')] ).
cnf(2665,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)],[105,57]),
[iquote('0:Res:105.3,57.0')] ).
cnf(3338,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(3340,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)],[3338]),
[iquote('0:Obv:3338.0')] ).
cnf(3341,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3340]),
[iquote('0:Con:3340.2')] ).
cnf(3863,plain,
( ~ midp(skc9,u,v)
| para(u,skc10,skc11,v) ),
inference(res,[status(thm),theory(equality)],[184,14]),
[iquote('0:Res:184.1,14.0')] ).
cnf(5023,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1461,61]),
[iquote('0:Res:1461.1,61.0')] ).
cnf(5034,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1461,78]),
[iquote('0:Res:1461.1,78.1')] ).
cnf(5048,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5034,5023]),
[iquote('0:MRR:5034.1,5023.1')] ).
cnf(5281,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1493,32]),
[iquote('0:Res:1493.1,32.0')] ).
cnf(7863,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)],[2028,120]),
[iquote('0:Res:2028.2,120.3')] ).
cnf(7874,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)],[7863]),
[iquote('0:Obv:7863.2')] ).
cnf(8953,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)],[2665,84]),
[iquote('0:Res:2665.3,84.1')] ).
cnf(14489,plain,
( ~ midp(skc9,skc11,skc10)
| cyclic(skc10,skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[3863,5048]),
[iquote('0:Res:3863.1,5048.0')] ).
cnf(14498,plain,
cyclic(skc10,skc10,skc11,u),
inference(mrr,[status(thm)],[14489,182]),
[iquote('0:MRR:14489.0,182.0')] ).
cnf(14529,plain,
para(skc11,skc10,skc11,skc10),
inference(res,[status(thm),theory(equality)],[14498,609]),
[iquote('0:Res:14498.0,609.0')] ).
cnf(14579,plain,
para(skc11,skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[14529,14]),
[iquote('0:Res:14529.0,14.0')] ).
cnf(14663,plain,
para(skc10,skc11,skc11,skc10),
inference(res,[status(thm),theory(equality)],[14579,15]),
[iquote('0:Res:14579.0,15.0')] ).
cnf(14715,plain,
para(skc10,skc11,skc10,skc11),
inference(res,[status(thm),theory(equality)],[14663,14]),
[iquote('0:Res:14663.0,14.0')] ).
cnf(15285,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[14715,5281]),
[iquote('0:Res:14715.0,5281.0')] ).
cnf(15288,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1389,15285]),
[iquote('0:MRR:1389.0,15285.0')] ).
cnf(15289,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1835,15285]),
[iquote('0:MRR:1835.0,15285.0')] ).
cnf(15291,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5048,15285]),
[iquote('0:MRR:5048.0,15285.0')] ).
cnf(15459,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[15288,20]),
[iquote('0:Res:15288.1,20.0')] ).
cnf(15478,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[15459,15289]),
[iquote('0:MRR:15459.0,15289.0')] ).
cnf(15486,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,w,w,v)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[7874,15478]),
[iquote('0:MRR:7874.3,7874.1,15478.0')] ).
cnf(16992,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[15291,94]),
[iquote('0:Res:15291.0,94.0')] ).
cnf(16993,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15291,46]),
[iquote('0:Res:15291.0,46.0')] ).
cnf(17071,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16993,15291]),
[iquote('0:MRR:16993.0,15291.0')] ).
cnf(17075,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,17071]),
[iquote('0:MRR:120.2,120.1,120.0,17071.0')] ).
cnf(17090,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,17071]),
[iquote('0:MRR:68.1,17071.0')] ).
cnf(17091,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3341,17071]),
[iquote('0:MRR:3341.1,3341.0,17071.0')] ).
cnf(17313,plain,
( ~ para(u,v,w,w)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[15486,17071]),
[iquote('0:MRR:15486.1,17071.0')] ).
cnf(17428,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16992,17091]),
[iquote('0:MRR:16992.0,16992.1,17091.0,17091.0')] ).
cnf(17440,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,17428]),
[iquote('0:MRR:91.0,17428.0')] ).
cnf(17449,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[17090,17428]),
[iquote('0:MRR:17090.0,17428.0')] ).
cnf(21113,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[17449,17440]),
[iquote('0:Res:17449.0,17440.0')] ).
cnf(22015,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[21113,17075]),
[iquote('0:Res:21113.0,17075.0')] ).
cnf(22038,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,22015]),
[iquote('0:MRR:48.1,48.0,22015.0')] ).
cnf(22547,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[43,22038]),
[iquote('0:MRR:43.1,43.0,22038.0')] ).
cnf(23487,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[12,22547]),
[iquote('0:MRR:12.0,22547.0')] ).
cnf(23667,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(mrr,[status(thm)],[8953,22547]),
[iquote('0:MRR:8953.2,22547.0')] ).
cnf(23755,plain,
cong(u,v,v,w),
inference(mrr,[status(thm)],[17313,22547]),
[iquote('0:MRR:17313.0,22547.0')] ).
cnf(24262,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[23667,23487,23755]),
[iquote('0:MRR:23667.0,23667.1,23667.2,23487.0,23487.0,23755.0')] ).
cnf(24263,plain,
$false,
inference(unc,[status(thm)],[24262,7]),
[iquote('0:UnC:24262.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.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 : Fri Jun 17 16:51:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.53/19.70
% 19.53/19.70 SPASS V 3.9
% 19.53/19.70 SPASS beiseite: Proof found.
% 19.53/19.70 % SZS status Theorem
% 19.53/19.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.53/19.70 SPASS derived 23342 clauses, backtracked 0 clauses, performed 1 splits and kept 12955 clauses.
% 19.53/19.70 SPASS allocated 102414 KBytes.
% 19.53/19.70 SPASS spent 0:0:19.26 on the problem.
% 19.53/19.70 0:00:00.04 for the input.
% 19.53/19.70 0:00:00.25 for the FLOTTER CNF translation.
% 19.53/19.70 0:00:00.53 for inferences.
% 19.53/19.70 0:00:00.18 for the backtracking.
% 19.53/19.70 0:0:17.73 for the reduction.
% 19.53/19.70
% 19.53/19.70
% 19.53/19.70 Here is a proof with depth 8, length 79 :
% 19.53/19.70 % SZS output start Refutation
% See solution above
% 19.53/19.70 Formulae used in the proof : exemplo6GDDFULL416052 ruleD11 ruleD66 ruleD4 ruleD5 ruleD16 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD26 ruleD42a ruleX14 ruleD42b ruleD75 ruleD54 ruleD48 ruleD57 ruleD65 ruleD43
% 19.53/19.70
%------------------------------------------------------------------------------