TSTP Solution File: GEO609+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 06:25:30 EDT 2022
% Result : Theorem 0.90s 1.08s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of clauses : 73 ( 34 unt; 0 nHn; 73 RR)
% Number of literals : 125 ( 0 equ; 53 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc8,skc15),
file('GEO609+1.p',unknown),
[] ).
cnf(4,axiom,
para(skc15,skc14,skc12,skc8),
file('GEO609+1.p',unknown),
[] ).
cnf(8,axiom,
~ para(skc10,skc11,skc8,skc9),
file('GEO609+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO609+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO609+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO609+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO609+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO609+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO609+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO609+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO609+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO609+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO609+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO609+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO609+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO609+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO609+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO609+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO609+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO609+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO609+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO609+1.p',unknown),
[] ).
cnf(121,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('GEO609+1.p',unknown),
[] ).
cnf(146,plain,
( ~ coll(skc10,skc8,u)
| coll(skc15,u,skc10) ),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.0')] ).
cnf(147,plain,
coll(skc10,skc15,skc8),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(150,plain,
( ~ coll(skc10,skc8,u)
| coll(u,skc15,skc10) ),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.1')] ).
cnf(222,plain,
eqangle(skc15,skc14,u,v,skc12,skc8,u,v),
inference(res,[status(thm),theory(equality)],[4,34]),
[iquote('0:Res:4.0,34.0')] ).
cnf(250,plain,
coll(skc15,skc15,skc10),
inference(res,[status(thm),theory(equality)],[1,150]),
[iquote('0:Res:1.0,150.0')] ).
cnf(268,plain,
( ~ coll(skc10,skc8,u)
| coll(skc15,skc10,u) ),
inference(res,[status(thm),theory(equality)],[146,9]),
[iquote('0:Res:146.1,9.0')] ).
cnf(295,plain,
( ~ coll(skc10,skc8,u)
| coll(skc10,skc15,u) ),
inference(res,[status(thm),theory(equality)],[268,10]),
[iquote('0:Res:268.1,10.0')] ).
cnf(404,plain,
( ~ coll(skc10,skc15,u)
| coll(u,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[147,26]),
[iquote('0:Res:147.0,26.0')] ).
cnf(410,plain,
( ~ coll(skc15,skc15,u)
| coll(u,skc10,skc15) ),
inference(res,[status(thm),theory(equality)],[250,26]),
[iquote('0:Res:250.0,26.0')] ).
cnf(420,plain,
( ~ coll(skc10,skc8,u)
| ~ coll(skc10,skc15,v)
| coll(v,u,skc10) ),
inference(res,[status(thm),theory(equality)],[295,26]),
[iquote('0:Res:295.1,26.0')] ).
cnf(487,plain,
coll(skc8,skc8,skc10),
inference(res,[status(thm),theory(equality)],[147,404]),
[iquote('0:Res:147.0,404.0')] ).
cnf(491,plain,
( ~ coll(skc8,skc8,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[487,26]),
[iquote('0:Res:487.0,26.0')] ).
cnf(716,plain,
( ~ midp(u,v,v)
| ~ cong(u,w,u,w)
| perp(u,u,w,v) ),
inference(res,[status(thm),theory(equality)],[14,49]),
[iquote('0:Res:14.1,49.0')] ).
cnf(1205,plain,
eqangle(skc15,skc14,skc12,skc8,u,v,u,v),
inference(res,[status(thm),theory(equality)],[222,57]),
[iquote('0:Res:222.0,57.0')] ).
cnf(1619,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,79]),
[iquote('0:Res:34.1,79.1')] ).
cnf(2192,plain,
eqangle(u,v,u,v,skc15,skc14,skc12,skc8),
inference(res,[status(thm),theory(equality)],[1205,56]),
[iquote('0:Res:1205.0,56.0')] ).
cnf(2242,plain,
( ~ para(skc15,skc14,skc12,skc8)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[2192,87]),
[iquote('0:Res:2192.0,87.1')] ).
cnf(2243,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[2242,4]),
[iquote('0:MRR:2242.0,4.0')] ).
cnf(2245,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1619,2243]),
[iquote('0:MRR:1619.0,2243.0')] ).
cnf(2249,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[2243,13]),
[iquote('0:Res:2243.0,13.0')] ).
cnf(2276,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[2249,10]),
[iquote('0:Res:2249.0,10.0')] ).
cnf(2393,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[2276,9]),
[iquote('0:Res:2276.0,9.0')] ).
cnf(2469,plain,
coll(u,skc10,skc15),
inference(mrr,[status(thm)],[410,2393]),
[iquote('0:MRR:410.0,2393.0')] ).
cnf(2481,plain,
coll(u,skc10,skc8),
inference(mrr,[status(thm)],[491,2393]),
[iquote('0:MRR:491.0,2393.0')] ).
cnf(2489,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[2245,2393]),
[iquote('0:MRR:2245.0,2393.0')] ).
cnf(2524,plain,
coll(skc10,u,skc15),
inference(res,[status(thm),theory(equality)],[2469,10]),
[iquote('0:Res:2469.0,10.0')] ).
cnf(2585,plain,
coll(skc10,u,skc8),
inference(res,[status(thm),theory(equality)],[2481,10]),
[iquote('0:Res:2481.0,10.0')] ).
cnf(2627,plain,
coll(skc10,skc15,u),
inference(res,[status(thm),theory(equality)],[2524,9]),
[iquote('0:Res:2524.0,9.0')] ).
cnf(2629,plain,
( ~ coll(skc10,skc8,u)
| coll(v,u,skc10) ),
inference(mrr,[status(thm)],[420,2627]),
[iquote('0:MRR:420.1,2627.0')] ).
cnf(2680,plain,
coll(skc10,skc8,u),
inference(res,[status(thm),theory(equality)],[2585,9]),
[iquote('0:Res:2585.0,9.0')] ).
cnf(2682,plain,
coll(u,v,skc10),
inference(mrr,[status(thm)],[2629,2680]),
[iquote('0:MRR:2629.0,2680.0')] ).
cnf(2813,plain,
coll(u,skc10,v),
inference(res,[status(thm),theory(equality)],[2682,9]),
[iquote('0:Res:2682.0,9.0')] ).
cnf(2892,plain,
( ~ coll(u,skc10,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[2813,26]),
[iquote('0:Res:2813.0,26.0')] ).
cnf(2897,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[2892,2813]),
[iquote('0:MRR:2892.0,2813.0')] ).
cnf(2898,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[39,2897]),
[iquote('0:MRR:39.0,2897.0')] ).
cnf(3125,plain,
cyclic(u,v,w,v),
inference(res,[status(thm),theory(equality)],[2489,20]),
[iquote('0:Res:2489.0,20.0')] ).
cnf(3131,plain,
cyclic(u,v,v,w),
inference(res,[status(thm),theory(equality)],[3125,19]),
[iquote('0:Res:3125.0,19.0')] ).
cnf(3139,plain,
cyclic(u,v,u,w),
inference(res,[status(thm),theory(equality)],[3131,21]),
[iquote('0:Res:3131.0,21.0')] ).
cnf(3155,plain,
( ~ cyclic(u,v,u,w)
| cyclic(v,u,w,x) ),
inference(res,[status(thm),theory(equality)],[3139,47]),
[iquote('0:Res:3139.0,47.0')] ).
cnf(3159,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[3155,3139]),
[iquote('0:MRR:3155.0,3139.0')] ).
cnf(3160,plain,
eqangle(u,v,u,w,x,v,x,w),
inference(mrr,[status(thm)],[35,3159]),
[iquote('0:MRR:35.0,3159.0')] ).
cnf(3165,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[121,3159]),
[iquote('0:MRR:121.2,121.1,121.0,3159.0')] ).
cnf(3345,plain,
cong(u,v,u,v),
inference(res,[status(thm),theory(equality)],[3160,3165]),
[iquote('0:Res:3160.0,3165.0')] ).
cnf(3349,plain,
( ~ midp(u,v,v)
| perp(u,u,w,v) ),
inference(mrr,[status(thm)],[716,3345]),
[iquote('0:MRR:716.1,3345.0')] ).
cnf(3443,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[3345,2898]),
[iquote('0:Res:3345.0,2898.0')] ).
cnf(3451,plain,
perp(u,u,v,w),
inference(mrr,[status(thm)],[3349,3443]),
[iquote('0:MRR:3349.0,3443.0')] ).
cnf(3499,plain,
( ~ perp(u,v,w,w)
| para(u,v,x,y) ),
inference(res,[status(thm),theory(equality)],[3451,44]),
[iquote('0:Res:3451.0,44.0')] ).
cnf(3501,plain,
perp(u,v,w,w),
inference(res,[status(thm),theory(equality)],[3451,18]),
[iquote('0:Res:3451.0,18.0')] ).
cnf(3524,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[3499,3501]),
[iquote('0:MRR:3499.0,3501.0')] ).
cnf(3525,plain,
$false,
inference(unc,[status(thm)],[3524,8]),
[iquote('0:UnC:3524.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 04:21:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.90/1.08
% 0.90/1.08 SPASS V 3.9
% 0.90/1.08 SPASS beiseite: Proof found.
% 0.90/1.08 % SZS status Theorem
% 0.90/1.08 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.08 SPASS derived 3307 clauses, backtracked 0 clauses, performed 2 splits and kept 1804 clauses.
% 0.90/1.08 SPASS allocated 88514 KBytes.
% 0.90/1.08 SPASS spent 0:00:00.72 on the problem.
% 0.90/1.08 0:00:00.04 for the input.
% 0.90/1.08 0:00:00.21 for the FLOTTER CNF translation.
% 0.90/1.08 0:00:00.03 for inferences.
% 0.90/1.08 0:00:00.00 for the backtracking.
% 0.90/1.08 0:00:00.37 for the reduction.
% 0.90/1.08
% 0.90/1.08
% 0.90/1.08 Here is a proof with depth 7, length 73 :
% 0.90/1.08 % SZS output start Refutation
% See solution above
% 0.90/1.08 Formulae used in the proof : exemplo6GDDFULL618071 ruleD1 ruleD2 ruleD66 ruleD68 ruleD8 ruleD14 ruleD15 ruleD16 ruleD3 ruleD40 ruleD41 ruleD67 ruleD9 ruleD17 ruleD56 ruleD20 ruleD21 ruleD42b ruleD73 ruleD43
% 0.90/1.08
%------------------------------------------------------------------------------