TSTP Solution File: GEO626+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:25:36 EDT 2022
% Result : Theorem 19.11s 19.29s
% Output : Refutation 19.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of clauses : 76 ( 26 unt; 2 nHn; 76 RR)
% Number of literals : 152 ( 0 equ; 75 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc13,skc21,skc19),
file('GEO626+1.p',unknown),
[] ).
cnf(7,axiom,
perp(skc16,skc12,skc21,skc20),
file('GEO626+1.p',unknown),
[] ).
cnf(11,axiom,
~ para(skc15,skc19,skc14,skc20),
file('GEO626+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO626+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO626+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO626+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO626+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO626+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO626+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO626+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO626+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO626+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO626+1.p',unknown),
[] ).
cnf(124,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('GEO626+1.p',unknown),
[] ).
cnf(196,plain,
coll(skc13,skc19,skc21),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(197,plain,
coll(skc21,skc13,skc19),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(255,plain,
( ~ perp(skc21,skc20,u,v)
| para(skc16,skc12,u,v) ),
inference(res,[status(thm),theory(equality)],[7,47]),
[iquote('0:Res:7.0,47.0')] ).
cnf(257,plain,
perp(skc21,skc20,skc16,skc12),
inference(res,[status(thm),theory(equality)],[7,21]),
[iquote('0:Res:7.0,21.0')] ).
cnf(262,plain,
( ~ perp(u,v,skc16,skc12)
| para(u,v,skc21,skc20) ),
inference(res,[status(thm),theory(equality)],[7,47]),
[iquote('0:Res:7.0,47.1')] ).
cnf(447,plain,
( ~ coll(skc21,skc13,u)
| coll(u,skc19,skc21) ),
inference(res,[status(thm),theory(equality)],[197,29]),
[iquote('0:Res:197.0,29.0')] ).
cnf(451,plain,
( ~ coll(skc13,skc19,u)
| coll(u,skc21,skc13) ),
inference(res,[status(thm),theory(equality)],[196,29]),
[iquote('0:Res:196.0,29.0')] ).
cnf(613,plain,
coll(skc21,skc21,skc13),
inference(res,[status(thm),theory(equality)],[196,451]),
[iquote('0:Res:196.0,451.0')] ).
cnf(617,plain,
coll(skc21,skc13,skc21),
inference(res,[status(thm),theory(equality)],[613,12]),
[iquote('0:Res:613.0,12.0')] ).
cnf(619,plain,
coll(skc21,skc19,skc21),
inference(res,[status(thm),theory(equality)],[617,447]),
[iquote('0:Res:617.0,447.0')] ).
cnf(625,plain,
coll(skc21,skc21,skc19),
inference(res,[status(thm),theory(equality)],[619,12]),
[iquote('0:Res:619.0,12.0')] ).
cnf(644,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[40,36]),
[iquote('0:Res:40.1,36.0')] ).
cnf(646,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[38,36]),
[iquote('0:Res:38.1,36.0')] ).
cnf(828,plain,
( ~ perp(u,v,skc21,skc20)
| para(u,v,skc16,skc12) ),
inference(res,[status(thm),theory(equality)],[257,47]),
[iquote('0:Res:257.0,47.0')] ).
cnf(1233,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1265,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(1640,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[37,82]),
[iquote('0:Res:37.1,82.1')] ).
cnf(2638,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(2640,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)],[2638]),
[iquote('0:Obv:2638.0')] ).
cnf(2641,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2640]),
[iquote('0:Con:2640.2')] ).
cnf(3033,plain,
( ~ perp(skc21,skc20,u,v)
| para(skc16,skc12,v,u) ),
inference(res,[status(thm),theory(equality)],[255,18]),
[iquote('0:Res:255.1,18.0')] ).
cnf(4200,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1233,65]),
[iquote('0:Res:1233.1,65.0')] ).
cnf(4211,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1233,82]),
[iquote('0:Res:1233.1,82.1')] ).
cnf(4227,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4211,4200]),
[iquote('0:MRR:4211.1,4200.1')] ).
cnf(4541,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1265,36]),
[iquote('0:Res:1265.1,36.0')] ).
cnf(4873,plain,
( ~ perp(skc21,skc20,skc16,skc12)
| ~ coll(skc21,skc21,u)
| cyclic(skc20,u,skc21,skc21) ),
inference(res,[status(thm),theory(equality)],[262,1640]),
[iquote('0:Res:262.1,1640.0')] ).
cnf(4876,plain,
( ~ coll(skc21,skc21,u)
| cyclic(skc20,u,skc21,skc21) ),
inference(mrr,[status(thm)],[4873,257]),
[iquote('0:MRR:4873.0,257.0')] ).
cnf(14303,plain,
( ~ coll(skc21,skc21,u)
| para(skc21,skc20,skc21,skc20) ),
inference(res,[status(thm),theory(equality)],[4876,646]),
[iquote('0:Res:4876.1,646.0')] ).
cnf(14312,plain,
para(skc21,skc20,skc21,skc20),
inference(res,[status(thm),theory(equality)],[625,14303]),
[iquote('0:Res:625.0,14303.0')] ).
cnf(15918,plain,
( ~ perp(skc21,skc20,u,v)
| ~ para(w,x,skc16,skc12)
| para(w,x,v,u) ),
inference(res,[status(thm),theory(equality)],[3033,46]),
[iquote('0:Res:3033.1,46.0')] ).
cnf(16458,plain,
cyclic(skc20,skc20,skc21,u),
inference(res,[status(thm),theory(equality)],[14312,4227]),
[iquote('0:Res:14312.0,4227.0')] ).
cnf(16483,plain,
( ~ cyclic(skc20,skc20,skc21,skc20)
| cong(skc20,skc20,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[16458,2641]),
[iquote('0:Res:16458.0,2641.0')] ).
cnf(16527,plain,
cong(skc20,skc20,skc20,skc20),
inference(mrr,[status(thm)],[16483,16458]),
[iquote('0:MRR:16483.0,16458.0')] ).
cnf(16659,plain,
para(skc20,skc20,skc20,skc20),
inference(res,[status(thm),theory(equality)],[16527,644]),
[iquote('0:Res:16527.0,644.0')] ).
cnf(16927,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16659,4541]),
[iquote('0:Res:16659.0,4541.0')] ).
cnf(16947,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4227,16927]),
[iquote('0:MRR:4227.0,16927.0')] ).
cnf(20292,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16947,98]),
[iquote('0:Res:16947.0,98.0')] ).
cnf(20293,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16947,50]),
[iquote('0:Res:16947.0,50.0')] ).
cnf(20369,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20293,16947]),
[iquote('0:MRR:20293.0,16947.0')] ).
cnf(20373,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,20369]),
[iquote('0:MRR:124.2,124.1,124.0,20369.0')] ).
cnf(20388,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,20369]),
[iquote('0:MRR:72.1,20369.0')] ).
cnf(20390,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2641,20369]),
[iquote('0:MRR:2641.1,2641.0,20369.0')] ).
cnf(20708,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20292,20390]),
[iquote('0:MRR:20292.0,20292.1,20390.0,20390.0')] ).
cnf(20724,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,20708]),
[iquote('0:MRR:95.0,20708.0')] ).
cnf(20755,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20388,20708]),
[iquote('0:MRR:20388.0,20708.0')] ).
cnf(24131,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20755,20724]),
[iquote('0:Res:20755.0,20724.0')] ).
cnf(27142,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24131,20373]),
[iquote('0:Res:24131.0,20373.0')] ).
cnf(27162,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,27142]),
[iquote('0:MRR:52.1,52.0,27142.0')] ).
cnf(27233,plain,
para(u,v,skc16,skc12),
inference(mrr,[status(thm)],[828,27162]),
[iquote('0:MRR:828.0,27162.0')] ).
cnf(27675,plain,
( ~ para(u,v,skc16,skc12)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[15918,27162]),
[iquote('0:MRR:15918.0,27162.0')] ).
cnf(28896,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[27675,27233]),
[iquote('0:MRR:27675.0,27233.0')] ).
cnf(28897,plain,
$false,
inference(unc,[status(thm)],[28896,11]),
[iquote('0:UnC:28896.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO626+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 09:59:19 EDT 2022
% 0.11/0.33 % CPUTime :
% 19.11/19.29
% 19.11/19.29 SPASS V 3.9
% 19.11/19.29 SPASS beiseite: Proof found.
% 19.11/19.29 % SZS status Theorem
% 19.11/19.29 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.11/19.29 SPASS derived 27726 clauses, backtracked 0 clauses, performed 3 splits and kept 16054 clauses.
% 19.11/19.29 SPASS allocated 104817 KBytes.
% 19.11/19.29 SPASS spent 0:0:18.82 on the problem.
% 19.11/19.29 0:00:00.04 for the input.
% 19.11/19.29 0:00:00.22 for the FLOTTER CNF translation.
% 19.11/19.29 0:00:00.37 for inferences.
% 19.11/19.29 0:00:00.20 for the backtracking.
% 19.11/19.29 0:0:17.59 for the reduction.
% 19.11/19.29
% 19.11/19.29
% 19.11/19.29 Here is a proof with depth 11, length 76 :
% 19.11/19.29 % SZS output start Refutation
% See solution above
% 19.11/19.29 Formulae used in the proof : exemplo6GDDFULL8110990 ruleD1 ruleD2 ruleD4 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 19.11/19.29
%------------------------------------------------------------------------------