TSTP Solution File: GEO541+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO541+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 06:25:08 EDT 2022
% Result : Theorem 21.45s 21.63s
% Output : Refutation 21.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 18 unt; 2 nHn; 53 RR)
% Number of literals : 109 ( 0 equ; 55 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
midp(skc10,skc11,skc12),
file('GEO541+1.p',unknown),
[] ).
cnf(7,axiom,
~ perp(skc10,skc9,skc7,skc8),
file('GEO541+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO541+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO541+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO541+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO541+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO541+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO541+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO541+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO541+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO541+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('GEO541+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('GEO541+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('GEO541+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('GEO541+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('GEO541+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('GEO541+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('GEO541+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('GEO541+1.p',unknown),
[] ).
cnf(162,plain,
midp(skc10,skc12,skc11),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.0,10.0')] ).
cnf(164,plain,
( ~ midp(skc10,u,v)
| para(u,skc11,v,skc12) ),
inference(res,[status(thm),theory(equality)],[3,37]),
[iquote('0:Res:3.0,37.1')] ).
cnf(638,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(1140,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(1178,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(2405,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(2407,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)],[2405]),
[iquote('0:Obv:2405.0')] ).
cnf(2408,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2407]),
[iquote('0:Con:2407.2')] ).
cnf(2577,plain,
( ~ midp(skc10,u,v)
| para(u,skc11,skc12,v) ),
inference(res,[status(thm),theory(equality)],[164,14]),
[iquote('0:Res:164.1,14.0')] ).
cnf(5220,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1140,61]),
[iquote('0:Res:1140.1,61.0')] ).
cnf(5231,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1140,78]),
[iquote('0:Res:1140.1,78.1')] ).
cnf(5245,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5231,5220]),
[iquote('0:MRR:5231.1,5220.1')] ).
cnf(5544,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1178,32]),
[iquote('0:Res:1178.1,32.0')] ).
cnf(15605,plain,
( ~ midp(skc10,skc12,skc11)
| cyclic(skc11,skc11,skc12,u) ),
inference(res,[status(thm),theory(equality)],[2577,5245]),
[iquote('0:Res:2577.1,5245.0')] ).
cnf(15615,plain,
cyclic(skc11,skc11,skc12,u),
inference(mrr,[status(thm)],[15605,162]),
[iquote('0:MRR:15605.0,162.0')] ).
cnf(15645,plain,
para(skc12,skc11,skc12,skc11),
inference(res,[status(thm),theory(equality)],[15615,638]),
[iquote('0:Res:15615.0,638.0')] ).
cnf(15710,plain,
para(skc12,skc11,skc11,skc12),
inference(res,[status(thm),theory(equality)],[15645,14]),
[iquote('0:Res:15645.0,14.0')] ).
cnf(15788,plain,
para(skc11,skc12,skc12,skc11),
inference(res,[status(thm),theory(equality)],[15710,15]),
[iquote('0:Res:15710.0,15.0')] ).
cnf(15911,plain,
para(skc11,skc12,skc11,skc12),
inference(res,[status(thm),theory(equality)],[15788,14]),
[iquote('0:Res:15788.0,14.0')] ).
cnf(16508,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[15911,5544]),
[iquote('0:Res:15911.0,5544.0')] ).
cnf(16515,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5245,16508]),
[iquote('0:MRR:5245.0,16508.0')] ).
cnf(19489,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16515,94]),
[iquote('0:Res:16515.0,94.0')] ).
cnf(19490,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16515,46]),
[iquote('0:Res:16515.0,46.0')] ).
cnf(19651,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19490,16515]),
[iquote('0:MRR:19490.0,16515.0')] ).
cnf(19655,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,19651]),
[iquote('0:MRR:120.2,120.1,120.0,19651.0')] ).
cnf(19670,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,19651]),
[iquote('0:MRR:68.1,19651.0')] ).
cnf(19672,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2408,19651]),
[iquote('0:MRR:2408.1,2408.0,19651.0')] ).
cnf(20072,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19489,19672]),
[iquote('0:MRR:19489.0,19489.1,19672.0,19672.0')] ).
cnf(20084,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,20072]),
[iquote('0:MRR:91.0,20072.0')] ).
cnf(20095,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19670,20072]),
[iquote('0:MRR:19670.0,20072.0')] ).
cnf(23906,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20095,20084]),
[iquote('0:Res:20095.0,20084.0')] ).
cnf(25547,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[23906,19655]),
[iquote('0:Res:23906.0,19655.0')] ).
cnf(25567,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,25547]),
[iquote('0:MRR:48.1,48.0,25547.0')] ).
cnf(25613,plain,
$false,
inference(unc,[status(thm)],[25567,7]),
[iquote('0:UnC:25567.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO541+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.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 12:39:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 21.45/21.63
% 21.45/21.63 SPASS V 3.9
% 21.45/21.63 SPASS beiseite: Proof found.
% 21.45/21.63 % SZS status Theorem
% 21.45/21.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.45/21.63 SPASS derived 24969 clauses, backtracked 0 clauses, performed 1 splits and kept 14570 clauses.
% 21.45/21.63 SPASS allocated 102941 KBytes.
% 21.45/21.63 SPASS spent 0:0:21.06 on the problem.
% 21.45/21.63 0:00:00.04 for the input.
% 21.45/21.63 0:00:00.23 for the FLOTTER CNF translation.
% 21.45/21.63 0:00:00.53 for inferences.
% 21.45/21.63 0:00:00.39 for the backtracking.
% 21.45/21.63 0:0:19.35 for the reduction.
% 21.45/21.63
% 21.45/21.63
% 21.45/21.63 Here is a proof with depth 8, length 53 :
% 21.45/21.63 % SZS output start Refutation
% See solution above
% 21.45/21.63 Formulae used in the proof : exemplo6GDDFULL012001 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 21.45/21.63
%------------------------------------------------------------------------------