TSTP Solution File: GEO561+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO561+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 06:25:14 EDT 2022
% Result : Theorem 11.67s 11.88s
% Output : Refutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of clauses : 49 ( 15 unt; 2 nHn; 49 RR)
% Number of literals : 107 ( 0 equ; 57 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 : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
perp(skc18,skc17,skc19,skc20),
file('GEO561+1.p',unknown),
[] ).
cnf(18,axiom,
~ eqangle(skc19,skc14,skc14,skc15,skc14,skc15,skc15,skc19),
file('GEO561+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO561+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO561+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO561+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO561+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO561+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO561+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO561+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO561+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO561+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO561+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO561+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO561+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO561+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO561+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO561+1.p',unknown),
[] ).
cnf(127,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('GEO561+1.p',unknown),
[] ).
cnf(409,plain,
perp(skc19,skc20,skc18,skc17),
inference(res,[status(thm),theory(equality)],[11,24]),
[iquote('0:Res:11.0,24.0')] ).
cnf(838,plain,
( ~ perp(u,v,skc19,skc20)
| para(u,v,skc18,skc17) ),
inference(res,[status(thm),theory(equality)],[409,50]),
[iquote('0:Res:409.0,50.0')] ).
cnf(1168,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1205,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(2210,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[40,121]),
[iquote('0:Res:40.1,121.0')] ).
cnf(2321,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)],[41,127]),
[iquote('0:Res:41.1,127.3')] ).
cnf(2323,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)],[2321]),
[iquote('0:Obv:2321.0')] ).
cnf(2324,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2323]),
[iquote('0:Con:2323.2')] ).
cnf(3715,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1168,68]),
[iquote('0:Res:1168.1,68.0')] ).
cnf(3726,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1168,85]),
[iquote('0:Res:1168.1,85.1')] ).
cnf(3743,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3726,3715]),
[iquote('0:MRR:3726.1,3715.1')] ).
cnf(4081,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1205,39]),
[iquote('0:Res:1205.1,39.0')] ).
cnf(8670,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1205,2210]),
[iquote('0:Res:1205.1,2210.1')] ).
cnf(11722,plain,
( ~ perp(skc18,skc17,skc19,skc20)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[838,4081]),
[iquote('0:Res:838.1,4081.0')] ).
cnf(11734,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[11722,11]),
[iquote('0:MRR:11722.0,11.0')] ).
cnf(11738,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3743,11734]),
[iquote('0:MRR:3743.0,11734.0')] ).
cnf(13323,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[11738,101]),
[iquote('0:Res:11738.0,101.0')] ).
cnf(13324,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[11738,53]),
[iquote('0:Res:11738.0,53.0')] ).
cnf(13369,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13324,11738]),
[iquote('0:MRR:13324.0,11738.0')] ).
cnf(13373,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[127,13369]),
[iquote('0:MRR:127.2,127.1,127.0,13369.0')] ).
cnf(13388,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[75,13369]),
[iquote('0:MRR:75.1,13369.0')] ).
cnf(13390,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2324,13369]),
[iquote('0:MRR:2324.1,2324.0,13369.0')] ).
cnf(13604,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13323,13390]),
[iquote('0:MRR:13323.0,13323.1,13390.0,13390.0')] ).
cnf(13618,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[98,13604]),
[iquote('0:MRR:98.0,13604.0')] ).
cnf(13626,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[13388,13604]),
[iquote('0:MRR:13388.0,13604.0')] ).
cnf(15838,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[13626,13618]),
[iquote('0:Res:13626.0,13618.0')] ).
cnf(16859,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[15838,13373]),
[iquote('0:Res:15838.0,13373.0')] ).
cnf(16879,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,16859]),
[iquote('0:MRR:55.1,55.0,16859.0')] ).
cnf(16894,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[50,16879]),
[iquote('0:MRR:50.1,50.0,16879.0')] ).
cnf(17688,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[8670,16894]),
[iquote('0:MRR:8670.1,8670.0,16894.0')] ).
cnf(18575,plain,
$false,
inference(unc,[status(thm)],[17688,18]),
[iquote('0:UnC:17688.0,18.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.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 23:07:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.67/11.88
% 11.67/11.88 SPASS V 3.9
% 11.67/11.88 SPASS beiseite: Proof found.
% 11.67/11.88 % SZS status Theorem
% 11.67/11.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.67/11.88 SPASS derived 17999 clauses, backtracked 0 clauses, performed 0 splits and kept 9873 clauses.
% 11.67/11.88 SPASS allocated 98708 KBytes.
% 11.67/11.88 SPASS spent 0:0:11.45 on the problem.
% 11.67/11.88 0:00:00.04 for the input.
% 11.67/11.88 0:00:00.26 for the FLOTTER CNF translation.
% 11.67/11.88 0:00:00.43 for inferences.
% 11.67/11.88 0:00:00.00 for the backtracking.
% 11.67/11.88 0:0:10.30 for the reduction.
% 11.67/11.88
% 11.67/11.88
% 11.67/11.88 Here is a proof with depth 3, length 49 :
% 11.67/11.88 % SZS output start Refutation
% See solution above
% 11.67/11.88 Formulae used in the proof : exemplo6GDDFULL214022 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 11.67/11.88
%------------------------------------------------------------------------------