TSTP Solution File: GEO648+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:25:42 EDT 2022
% Result : Theorem 20.73s 20.96s
% Output : Refutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of clauses : 90 ( 35 unt; 2 nHn; 90 RR)
% Number of literals : 170 ( 0 equ; 81 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 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(1,axiom,
coll(skc10,skc9,skc11),
file('GEO648+1.p',unknown),
[] ).
cnf(3,axiom,
perp(skc9,skc14,skc14,skc13),
file('GEO648+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc9,skc10,skc10,skc13),
file('GEO648+1.p',unknown),
[] ).
cnf(7,axiom,
~ para(skc9,skc13,skc14,skc11),
file('GEO648+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO648+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO648+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO648+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO648+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO648+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO648+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO648+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO648+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO648+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO648+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO648+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('GEO648+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('GEO648+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('GEO648+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ coll(u,v,w)
| ~ perp(x,y,y,u)
| perp(skf36(w,v,x),x,v,w) ),
file('GEO648+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('GEO648+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('GEO648+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('GEO648+1.p',unknown),
[] ).
cnf(122,plain,
( ~ coll(skc10,skc9,u)
| coll(skc11,u,skc10) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.0')] ).
cnf(123,plain,
coll(skc10,skc11,skc9),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(152,plain,
( ~ perp(skc10,skc13,u,v)
| para(skc9,skc10,u,v) ),
inference(res,[status(thm),theory(equality)],[6,43]),
[iquote('0:Res:6.0,43.0')] ).
cnf(154,plain,
perp(skc10,skc13,skc9,skc10),
inference(res,[status(thm),theory(equality)],[6,17]),
[iquote('0:Res:6.0,17.0')] ).
cnf(203,plain,
( ~ perp(skc14,skc13,u,v)
| para(skc9,skc14,u,v) ),
inference(res,[status(thm),theory(equality)],[3,43]),
[iquote('0:Res:3.0,43.0')] ).
cnf(205,plain,
perp(skc14,skc13,skc9,skc14),
inference(res,[status(thm),theory(equality)],[3,17]),
[iquote('0:Res:3.0,17.0')] ).
cnf(240,plain,
( ~ perp(u,v,skc14,skc11)
| ~ perp(skc9,skc13,u,v) ),
inference(res,[status(thm),theory(equality)],[43,7]),
[iquote('0:Res:43.2,7.0')] ).
cnf(258,plain,
( ~ coll(skc10,skc9,u)
| coll(skc11,skc10,u) ),
inference(res,[status(thm),theory(equality)],[122,8]),
[iquote('0:Res:122.1,8.0')] ).
cnf(273,plain,
( ~ coll(skc10,skc9,u)
| coll(skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[258,9]),
[iquote('0:Res:258.1,9.0')] ).
cnf(274,plain,
( ~ coll(skc10,skc9,u)
| coll(skc10,u,skc11) ),
inference(res,[status(thm),theory(equality)],[273,8]),
[iquote('0:Res:273.1,8.0')] ).
cnf(287,plain,
( ~ perp(skc10,skc13,skc9,u)
| coll(skc9,skc10,u) ),
inference(res,[status(thm),theory(equality)],[152,12]),
[iquote('0:Res:152.1,12.0')] ).
cnf(289,plain,
( ~ perp(skc14,skc13,u,v)
| para(skc9,skc14,v,u) ),
inference(res,[status(thm),theory(equality)],[203,14]),
[iquote('0:Res:203.1,14.0')] ).
cnf(291,plain,
coll(skc9,skc10,skc10),
inference(res,[status(thm),theory(equality)],[154,287]),
[iquote('0:Res:154.0,287.0')] ).
cnf(293,plain,
coll(skc10,skc9,skc10),
inference(res,[status(thm),theory(equality)],[291,9]),
[iquote('0:Res:291.0,9.0')] ).
cnf(294,plain,
coll(skc10,skc10,skc11),
inference(res,[status(thm),theory(equality)],[293,274]),
[iquote('0:Res:293.0,274.0')] ).
cnf(322,plain,
perp(skc14,skc13,skc14,skc9),
inference(res,[status(thm),theory(equality)],[205,16]),
[iquote('0:Res:205.0,16.0')] ).
cnf(387,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[123,25]),
[iquote('0:Res:123.0,25.0')] ).
cnf(392,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[294,25]),
[iquote('0:Res:294.0,25.0')] ).
cnf(399,plain,
( ~ coll(skc10,skc9,u)
| ~ coll(skc11,skc10,v)
| coll(v,u,skc11) ),
inference(res,[status(thm),theory(equality)],[258,25]),
[iquote('0:Res:258.1,25.0')] ).
cnf(426,plain,
coll(skc9,skc9,skc10),
inference(res,[status(thm),theory(equality)],[123,387]),
[iquote('0:Res:123.0,387.0')] ).
cnf(430,plain,
( ~ coll(skc9,skc9,u)
| coll(u,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[426,25]),
[iquote('0:Res:426.0,25.0')] ).
cnf(1294,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(1335,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(2480,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(2485,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)],[2480]),
[iquote('0:Obv:2480.0')] ).
cnf(2486,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2485]),
[iquote('0:Con:2485.2')] ).
cnf(4387,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1294,61]),
[iquote('0:Res:1294.1,61.0')] ).
cnf(4392,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1294,78]),
[iquote('0:Res:1294.1,78.1')] ).
cnf(4402,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4392,4387]),
[iquote('0:MRR:4392.1,4387.1')] ).
cnf(4652,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1335,32]),
[iquote('0:Res:1335.1,32.0')] ).
cnf(25081,plain,
( ~ perp(skc14,skc13,skc14,skc9)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[289,4652]),
[iquote('0:Res:289.1,4652.0')] ).
cnf(27176,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[25081,322]),
[iquote('0:MRR:25081.0,322.0')] ).
cnf(27177,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4402,27176]),
[iquote('0:MRR:4402.0,27176.0')] ).
cnf(27541,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[27176,12]),
[iquote('0:Res:27176.0,12.0')] ).
cnf(27557,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[27541,9]),
[iquote('0:Res:27541.0,9.0')] ).
cnf(27589,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[27557,8]),
[iquote('0:Res:27557.0,8.0')] ).
cnf(27590,plain,
coll(u,skc11,skc10),
inference(mrr,[status(thm)],[392,27589]),
[iquote('0:MRR:392.0,27589.0')] ).
cnf(27641,plain,
coll(u,skc10,skc9),
inference(mrr,[status(thm)],[430,27589]),
[iquote('0:MRR:430.0,27589.0')] ).
cnf(27748,plain,
coll(skc11,u,skc10),
inference(res,[status(thm),theory(equality)],[27590,9]),
[iquote('0:Res:27590.0,9.0')] ).
cnf(27935,plain,
coll(skc10,u,skc9),
inference(res,[status(thm),theory(equality)],[27641,9]),
[iquote('0:Res:27641.0,9.0')] ).
cnf(27945,plain,
coll(skc11,skc10,u),
inference(res,[status(thm),theory(equality)],[27748,8]),
[iquote('0:Res:27748.0,8.0')] ).
cnf(27946,plain,
( ~ coll(skc10,skc9,u)
| coll(v,u,skc11) ),
inference(mrr,[status(thm)],[399,27945]),
[iquote('0:MRR:399.1,27945.0')] ).
cnf(28255,plain,
coll(skc10,skc9,u),
inference(res,[status(thm),theory(equality)],[27935,8]),
[iquote('0:Res:27935.0,8.0')] ).
cnf(28256,plain,
coll(u,v,skc11),
inference(mrr,[status(thm)],[27946,28255]),
[iquote('0:MRR:27946.0,28255.0')] ).
cnf(28384,plain,
coll(u,skc11,v),
inference(res,[status(thm),theory(equality)],[28256,8]),
[iquote('0:Res:28256.0,8.0')] ).
cnf(28473,plain,
( ~ coll(u,skc11,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[28384,25]),
[iquote('0:Res:28384.0,25.0')] ).
cnf(28477,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[28473,28384]),
[iquote('0:MRR:28473.0,28384.0')] ).
cnf(28478,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[38,28477]),
[iquote('0:MRR:38.0,28477.0')] ).
cnf(28480,plain,
( ~ perp(u,v,v,w)
| perp(skf36(x,y,u),u,y,x) ),
inference(mrr,[status(thm)],[66,28477]),
[iquote('0:MRR:66.0,28477.0')] ).
cnf(28887,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[27177,46]),
[iquote('0:Res:27177.0,46.0')] ).
cnf(28950,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[28887,27177]),
[iquote('0:MRR:28887.0,27177.0')] ).
cnf(29056,plain,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(x,u,u,v) ),
inference(mrr,[status(thm)],[94,28950]),
[iquote('0:MRR:94.0,28950.0')] ).
cnf(29089,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2486,28950]),
[iquote('0:MRR:2486.1,2486.0,28950.0')] ).
cnf(29411,plain,
( ~ midp(u,v,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13,29056]),
[iquote('0:Res:13.1,29056.0')] ).
cnf(29420,plain,
( ~ midp(u,v,v)
| perp(w,u,u,v) ),
inference(mrr,[status(thm)],[29411,29089]),
[iquote('0:MRR:29411.1,29089.0')] ).
cnf(29421,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[29089,28478]),
[iquote('0:Res:29089.0,28478.0')] ).
cnf(29446,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[29420,29421]),
[iquote('0:MRR:29420.0,29421.0')] ).
cnf(29562,plain,
perp(skf36(u,v,w),w,v,u),
inference(mrr,[status(thm)],[28480,29446]),
[iquote('0:MRR:28480.0,29446.0')] ).
cnf(29564,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[39,29446]),
[iquote('0:MRR:39.1,29446.0')] ).
cnf(29642,plain,
~ perp(skc9,skc13,skf36(skc11,skc14,u),u),
inference(res,[status(thm),theory(equality)],[29562,240]),
[iquote('0:Res:29562.0,240.0')] ).
cnf(29714,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[29421,29564]),
[iquote('0:Res:29421.0,29564.0')] ).
cnf(29721,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,29714]),
[iquote('0:MRR:48.1,48.0,29714.0')] ).
cnf(29727,plain,
$false,
inference(unc,[status(thm)],[29721,29642]),
[iquote('0:UnC:29721.0,29642.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 : Fri Jun 17 17:57:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 20.73/20.96
% 20.73/20.96 SPASS V 3.9
% 20.73/20.96 SPASS beiseite: Proof found.
% 20.73/20.96 % SZS status Theorem
% 20.73/20.96 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.73/20.96 SPASS derived 28267 clauses, backtracked 6706 clauses, performed 5 splits and kept 21655 clauses.
% 20.73/20.96 SPASS allocated 104979 KBytes.
% 20.73/20.96 SPASS spent 0:0:20.50 on the problem.
% 20.73/20.96 0:00:00.04 for the input.
% 20.73/20.96 0:00:00.24 for the FLOTTER CNF translation.
% 20.73/20.96 0:00:00.57 for inferences.
% 20.73/20.96 0:00:00.78 for the backtracking.
% 20.73/20.96 0:0:18.27 for the reduction.
% 20.73/20.96
% 20.73/20.96
% 20.73/20.96 Here is a proof with depth 8, length 90 :
% 20.73/20.96 % SZS output start Refutation
% See solution above
% 20.73/20.96 Formulae used in the proof : exemplo6GDDFULLmoreE0213 ruleD1 ruleD2 ruleD66 ruleD68 ruleD4 ruleD7 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX15 ruleD42b ruleD57 ruleD43
% 20.73/20.96
%------------------------------------------------------------------------------