TSTP Solution File: GEO604+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:25:28 EDT 2022
% Result : Theorem 21.73s 21.91s
% Output : Refutation 21.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of clauses : 94 ( 32 unt; 2 nHn; 94 RR)
% Number of literals : 188 ( 0 equ; 93 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc8,skc13,skc10),
file('GEO604+1.p',unknown),
[] ).
cnf(7,axiom,
~ perp(skc7,skc9,skc7,skc8),
file('GEO604+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO604+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(u,v,w)
| coll(u,v,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO604+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO604+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO604+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO604+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO604+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO604+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO604+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ perp(x,u,v,w)
| cong(x,v,x,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO604+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO604+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,x)
| ~ cong(y,z,u,v)
| cong(y,z,w,x) ),
file('GEO604+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO604+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('GEO604+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('GEO604+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('GEO604+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('GEO604+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('GEO604+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO604+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('GEO604+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('GEO604+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('GEO604+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('GEO604+1.p',unknown),
[] ).
cnf(181,plain,
( ~ perp(u,skc8,skc13,skc10)
| cong(u,skc13,u,skc10) ),
inference(res,[status(thm),theory(equality)],[2,41]),
[iquote('0:Res:2.0,41.0')] ).
cnf(184,plain,
cong(skc8,skc13,skc8,skc10),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(186,plain,
coll(skc8,skc13,skc10),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(187,plain,
( ~ midp(skc8,u,v)
| para(u,skc13,v,skc10) ),
inference(res,[status(thm),theory(equality)],[2,37]),
[iquote('0:Res:2.0,37.1')] ).
cnf(336,plain,
cong(skc8,skc10,skc8,skc13),
inference(res,[status(thm),theory(equality)],[184,22]),
[iquote('0:Res:184.0,22.0')] ).
cnf(439,plain,
( ~ coll(skc8,skc13,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[186,25]),
[iquote('0:Res:186.0,25.0')] ).
cnf(635,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[36,32]),
[iquote('0:Res:36.1,32.0')] ).
cnf(711,plain,
( ~ midp(u,v,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
inference(res,[status(thm),theory(equality)],[13,45]),
[iquote('0:Res:13.1,45.0')] ).
cnf(764,plain,
( ~ cong(u,v,skc8,skc13)
| cong(u,v,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[184,47]),
[iquote('0:Res:184.0,47.0')] ).
cnf(912,plain,
coll(skc10,skc10,skc8),
inference(res,[status(thm),theory(equality)],[186,439]),
[iquote('0:Res:186.0,439.0')] ).
cnf(914,plain,
coll(skc10,skc8,skc10),
inference(res,[status(thm),theory(equality)],[912,8]),
[iquote('0:Res:912.0,8.0')] ).
cnf(918,plain,
coll(skc8,skc10,skc10),
inference(res,[status(thm),theory(equality)],[914,9]),
[iquote('0:Res:914.0,9.0')] ).
cnf(1143,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(1177,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(1575,plain,
( ~ para(u,v,u,u)
| ~ circle(w,u,x,u)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[33,90]),
[iquote('0:Res:33.1,90.1')] ).
cnf(1645,plain,
( ~ cong(u,v,u,w)
| ~ para(v,w,u,w)
| para(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[36,86]),
[iquote('0:Res:36.1,86.1')] ).
cnf(2438,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(2440,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)],[2438]),
[iquote('0:Obv:2438.0')] ).
cnf(2441,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2440]),
[iquote('0:Con:2440.2')] ).
cnf(2919,plain,
( ~ perp(u,skc8,skc13,skc10)
| cong(u,skc10,u,skc13) ),
inference(res,[status(thm),theory(equality)],[181,22]),
[iquote('0:Res:181.1,22.0')] ).
cnf(5157,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1143,61]),
[iquote('0:Res:1143.1,61.0')] ).
cnf(5168,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1143,78]),
[iquote('0:Res:1143.1,78.1')] ).
cnf(5182,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5168,5157]),
[iquote('0:MRR:5168.1,5157.1')] ).
cnf(5463,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1177,32]),
[iquote('0:Res:1177.1,32.0')] ).
cnf(6264,plain,
( ~ midp(skc8,skc10,u)
| circle(skc8,skc10,skc13,u) ),
inference(res,[status(thm),theory(equality)],[336,711]),
[iquote('0:Res:336.0,711.1')] ).
cnf(6513,plain,
( ~ midp(skc8,skc10,skc10)
| ~ circle(u,skc10,v,skc10)
| perp(u,skc10,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[187,1575]),
[iquote('0:Res:187.1,1575.0')] ).
cnf(14325,plain,
( ~ perp(skc10,skc8,skc13,skc10)
| para(skc10,skc10,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[2919,635]),
[iquote('0:Res:2919.1,635.0')] ).
cnf(14406,plain,
cong(skc8,skc10,skc8,skc10),
inference(res,[status(thm),theory(equality)],[336,764]),
[iquote('0:Res:336.0,764.0')] ).
cnf(14423,plain,
( ~ coll(skc8,skc10,skc10)
| midp(skc8,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[14406,38]),
[iquote('0:Res:14406.0,38.1')] ).
cnf(14434,plain,
midp(skc8,skc10,skc10),
inference(mrr,[status(thm)],[14423,918]),
[iquote('0:MRR:14423.0,918.0')] ).
cnf(14435,plain,
( ~ circle(u,skc10,v,skc10)
| perp(u,skc10,skc10,skc13) ),
inference(mrr,[status(thm)],[6513,14434]),
[iquote('0:MRR:6513.0,14434.0')] ).
cnf(14473,plain,
( ~ midp(skc8,skc10,skc10)
| perp(skc8,skc10,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[6264,14435]),
[iquote('0:Res:6264.1,14435.0')] ).
cnf(14474,plain,
perp(skc8,skc10,skc10,skc13),
inference(mrr,[status(thm)],[14473,14434]),
[iquote('0:MRR:14473.0,14434.0')] ).
cnf(14583,plain,
perp(skc8,skc10,skc13,skc10),
inference(res,[status(thm),theory(equality)],[14474,16]),
[iquote('0:Res:14474.0,16.0')] ).
cnf(14708,plain,
perp(skc13,skc10,skc8,skc10),
inference(res,[status(thm),theory(equality)],[14583,17]),
[iquote('0:Res:14583.0,17.0')] ).
cnf(14737,plain,
perp(skc13,skc10,skc10,skc8),
inference(res,[status(thm),theory(equality)],[14708,16]),
[iquote('0:Res:14708.0,16.0')] ).
cnf(14795,plain,
perp(skc10,skc8,skc13,skc10),
inference(res,[status(thm),theory(equality)],[14737,17]),
[iquote('0:Res:14737.0,17.0')] ).
cnf(14808,plain,
para(skc10,skc10,skc10,skc13),
inference(mrr,[status(thm)],[14325,14795]),
[iquote('0:MRR:14325.0,14795.0')] ).
cnf(14980,plain,
( ~ midp(skc8,skc13,skc10)
| cong(skc10,skc13,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[14795,41]),
[iquote('0:Res:14795.0,41.1')] ).
cnf(14982,plain,
cong(skc10,skc13,skc10,skc10),
inference(mrr,[status(thm)],[14980,2]),
[iquote('0:MRR:14980.0,2.0')] ).
cnf(14993,plain,
para(skc10,skc10,skc13,skc10),
inference(res,[status(thm),theory(equality)],[14808,14]),
[iquote('0:Res:14808.0,14.0')] ).
cnf(15120,plain,
( ~ para(skc13,skc10,skc10,skc10)
| para(skc10,skc13,skc13,skc10) ),
inference(res,[status(thm),theory(equality)],[14982,1645]),
[iquote('0:Res:14982.0,1645.0')] ).
cnf(15143,plain,
para(skc13,skc10,skc10,skc10),
inference(res,[status(thm),theory(equality)],[14993,15]),
[iquote('0:Res:14993.0,15.0')] ).
cnf(15154,plain,
para(skc10,skc13,skc13,skc10),
inference(mrr,[status(thm)],[15120,15143]),
[iquote('0:MRR:15120.0,15143.0')] ).
cnf(15357,plain,
para(skc13,skc10,skc10,skc13),
inference(res,[status(thm),theory(equality)],[15154,15]),
[iquote('0:Res:15154.0,15.0')] ).
cnf(15520,plain,
para(skc13,skc10,skc13,skc10),
inference(res,[status(thm),theory(equality)],[15357,14]),
[iquote('0:Res:15357.0,14.0')] ).
cnf(17169,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[15520,5463]),
[iquote('0:Res:15520.0,5463.0')] ).
cnf(17176,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5182,17169]),
[iquote('0:MRR:5182.0,17169.0')] ).
cnf(19854,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[17176,94]),
[iquote('0:Res:17176.0,94.0')] ).
cnf(19855,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17176,46]),
[iquote('0:Res:17176.0,46.0')] ).
cnf(20012,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19855,17176]),
[iquote('0:MRR:19855.0,17176.0')] ).
cnf(20016,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,20012]),
[iquote('0:MRR:120.2,120.1,120.0,20012.0')] ).
cnf(20031,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,20012]),
[iquote('0:MRR:68.1,20012.0')] ).
cnf(20033,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2441,20012]),
[iquote('0:MRR:2441.1,2441.0,20012.0')] ).
cnf(20456,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19854,20033]),
[iquote('0:MRR:19854.0,19854.1,20033.0,20033.0')] ).
cnf(20468,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,20456]),
[iquote('0:MRR:91.0,20456.0')] ).
cnf(20479,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20031,20456]),
[iquote('0:MRR:20031.0,20456.0')] ).
cnf(24124,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20479,20468]),
[iquote('0:Res:20479.0,20468.0')] ).
cnf(25751,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24124,20016]),
[iquote('0:Res:24124.0,20016.0')] ).
cnf(25771,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,25751]),
[iquote('0:MRR:48.1,48.0,25751.0')] ).
cnf(25809,plain,
$false,
inference(unc,[status(thm)],[25771,7]),
[iquote('0:UnC:25771.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 01:58:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.73/21.91
% 21.73/21.91 SPASS V 3.9
% 21.73/21.91 SPASS beiseite: Proof found.
% 21.73/21.91 % SZS status Theorem
% 21.73/21.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.73/21.91 SPASS derived 25176 clauses, backtracked 0 clauses, performed 1 splits and kept 14789 clauses.
% 21.73/21.91 SPASS allocated 103059 KBytes.
% 21.73/21.91 SPASS spent 0:0:21.34 on the problem.
% 21.73/21.91 0:00:00.04 for the input.
% 21.73/21.91 0:00:00.21 for the FLOTTER CNF translation.
% 21.73/21.91 0:00:00.52 for inferences.
% 21.73/21.91 0:00:00.48 for the backtracking.
% 21.73/21.91 0:0:19.58 for the reduction.
% 21.73/21.91
% 21.73/21.91
% 21.73/21.91 Here is a proof with depth 13, length 94 :
% 21.73/21.91 % SZS output start Refutation
% See solution above
% 21.73/21.91 Formulae used in the proof : exemplo6GDDFULL618066 ruleD1 ruleD2 ruleD69 ruleD68 ruleD4 ruleD5 ruleD7 ruleD8 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD63 ruleD67 ruleD55 ruleD12 ruleD17 ruleD25 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD73 ruleD49 ruleD48 ruleD57 ruleD43
% 21.73/21.91
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