TSTP Solution File: GEO554+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:25:12 EDT 2022
% Result : Theorem 18.10s 18.28s
% Output : Refutation 18.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of clauses : 80 ( 27 unt; 4 nHn; 80 RR)
% Number of literals : 159 ( 0 equ; 77 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
perp(skc20,skc27,skc20,skc21),
file('GEO554+1.p',unknown),
[] ).
cnf(11,axiom,
~ coll(skc16,skc17,skc18),
file('GEO554+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO554+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO554+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO554+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO554+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO554+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO554+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO554+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO554+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO554+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO554+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO554+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO554+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO554+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO554+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('GEO554+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('GEO554+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('GEO554+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('GEO554+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('GEO554+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('GEO554+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('GEO554+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('GEO554+1.p',unknown),
[] ).
cnf(173,plain,
~ para(skc16,skc17,skc16,skc18),
inference(res,[status(thm),theory(equality)],[16,11]),
[iquote('0:Res:16.1,11.0')] ).
cnf(201,plain,
perp(skc20,skc21,skc20,skc27),
inference(res,[status(thm),theory(equality)],[9,21]),
[iquote('0:Res:9.0,21.0')] ).
cnf(207,plain,
( ~ perp(u,v,skc20,skc27)
| para(u,v,skc20,skc21) ),
inference(res,[status(thm),theory(equality)],[9,47]),
[iquote('0:Res:9.0,47.1')] ).
cnf(597,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(1248,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[37,65]),
[iquote('0:Res:37.1,65.0')] ).
cnf(1320,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(1363,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(1752,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(2863,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(2865,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)],[2863]),
[iquote('0:Obv:2863.0')] ).
cnf(2866,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2865]),
[iquote('0:Con:2865.2')] ).
cnf(3169,plain,
( ~ perp(u,v,skc20,skc27)
| para(skc20,skc21,u,v) ),
inference(res,[status(thm),theory(equality)],[207,19]),
[iquote('0:Res:207.1,19.0')] ).
cnf(4098,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1320,65]),
[iquote('0:Res:1320.1,65.0')] ).
cnf(4109,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1320,82]),
[iquote('0:Res:1320.1,82.1')] ).
cnf(4124,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4109,4098]),
[iquote('0:MRR:4109.1,4098.1')] ).
cnf(4366,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1363,36]),
[iquote('0:Res:1363.1,36.0')] ).
cnf(4649,plain,
( ~ perp(skc20,skc21,skc20,skc27)
| ~ coll(skc20,skc20,u)
| cyclic(skc21,u,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[207,1752]),
[iquote('0:Res:207.1,1752.0')] ).
cnf(4651,plain,
( ~ coll(skc20,skc20,u)
| cyclic(skc21,u,skc20,skc20) ),
inference(mrr,[status(thm)],[4649,201]),
[iquote('0:MRR:4649.0,201.0')] ).
cnf(10366,plain,
( ~ coll(skc20,skc20,u)
| cyclic(u,skc21,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[4651,24]),
[iquote('0:Res:4651.1,24.0')] ).
cnf(11251,plain,
( ~ perp(u,v,skc20,skc27)
| ~ para(w,x,skc20,skc21)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[3169,46]),
[iquote('0:Res:3169.1,46.0')] ).
cnf(11402,plain,
( ~ perp(skc20,skc21,skc20,skc27)
| cyclic(skc21,skc21,skc20,u) ),
inference(res,[status(thm),theory(equality)],[207,4124]),
[iquote('0:Res:207.1,4124.0')] ).
cnf(11411,plain,
cyclic(skc21,skc21,skc20,u),
inference(mrr,[status(thm)],[11402,201]),
[iquote('0:MRR:11402.0,201.0')] ).
cnf(11423,plain,
( ~ cyclic(skc21,skc21,skc20,u)
| cyclic(skc21,skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[11411,50]),
[iquote('0:Res:11411.0,50.0')] ).
cnf(11427,plain,
para(skc20,skc21,skc20,skc21),
inference(res,[status(thm),theory(equality)],[11411,597]),
[iquote('0:Res:11411.0,597.0')] ).
cnf(11431,plain,
cyclic(skc21,skc20,u,v),
inference(mrr,[status(thm)],[11423,11411]),
[iquote('0:MRR:11423.0,11411.0')] ).
cnf(11773,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[11427,4366]),
[iquote('0:Res:11427.0,4366.0')] ).
cnf(11776,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1248,11773]),
[iquote('0:MRR:1248.0,11773.0')] ).
cnf(11779,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4124,11773]),
[iquote('0:MRR:4124.0,11773.0')] ).
cnf(11875,plain,
cyclic(u,skc21,skc20,skc20),
inference(mrr,[status(thm)],[10366,11776]),
[iquote('0:MRR:10366.0,11776.0')] ).
cnf(11887,plain,
cyclic(u,skc20,skc21,skc20),
inference(res,[status(thm),theory(equality)],[11875,23]),
[iquote('0:Res:11875.0,23.0')] ).
cnf(11917,plain,
cyclic(u,skc20,skc20,skc21),
inference(res,[status(thm),theory(equality)],[11887,22]),
[iquote('0:Res:11887.0,22.0')] ).
cnf(12296,plain,
( ~ cyclic(skc21,skc20,skc20,skc20)
| cong(skc21,skc20,skc21,skc20) ),
inference(res,[status(thm),theory(equality)],[11917,2866]),
[iquote('0:Res:11917.0,2866.0')] ).
cnf(12304,plain,
cong(skc21,skc20,skc21,skc20),
inference(mrr,[status(thm)],[12296,11431]),
[iquote('0:MRR:12296.0,11431.0')] ).
cnf(12359,plain,
( ~ cong(skc21,u,skc21,u)
| perp(skc21,skc21,u,skc20) ),
inference(res,[status(thm),theory(equality)],[12304,52]),
[iquote('0:Res:12304.0,52.0')] ).
cnf(12988,plain,
cyclic(skc21,u,skc20,v),
inference(res,[status(thm),theory(equality)],[11431,23]),
[iquote('0:Res:11431.0,23.0')] ).
cnf(14055,plain,
( ~ cyclic(skc21,u,skc20,u)
| cong(skc21,u,skc21,u) ),
inference(res,[status(thm),theory(equality)],[12988,2866]),
[iquote('0:Res:12988.0,2866.0')] ).
cnf(14063,plain,
cong(skc21,u,skc21,u),
inference(mrr,[status(thm)],[14055,12988]),
[iquote('0:MRR:14055.0,12988.0')] ).
cnf(14065,plain,
perp(skc21,skc21,u,skc20),
inference(mrr,[status(thm)],[12359,14063]),
[iquote('0:MRR:12359.0,14063.0')] ).
cnf(14095,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[11779,98]),
[iquote('0:Res:11779.0,98.0')] ).
cnf(14096,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[11779,50]),
[iquote('0:Res:11779.0,50.0')] ).
cnf(14142,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14096,11779]),
[iquote('0:MRR:14096.0,11779.0')] ).
cnf(14146,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,14142]),
[iquote('0:MRR:124.2,124.1,124.0,14142.0')] ).
cnf(14161,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,14142]),
[iquote('0:MRR:72.1,14142.0')] ).
cnf(14163,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2866,14142]),
[iquote('0:MRR:2866.1,2866.0,14142.0')] ).
cnf(14377,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14095,14163]),
[iquote('0:MRR:14095.0,14095.1,14163.0,14163.0')] ).
cnf(14383,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,14377]),
[iquote('0:MRR:95.0,14377.0')] ).
cnf(14394,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14161,14377]),
[iquote('0:MRR:14161.0,14377.0')] ).
cnf(14604,plain,
perp(skc21,skc21,skc20,u),
inference(res,[status(thm),theory(equality)],[14065,20]),
[iquote('0:Res:14065.0,20.0')] ).
cnf(14794,plain,
( ~ perp(u,v,skc21,skc21)
| para(u,v,skc20,w) ),
inference(res,[status(thm),theory(equality)],[14604,47]),
[iquote('0:Res:14604.0,47.0')] ).
cnf(25600,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[14394,14383]),
[iquote('0:Res:14394.0,14383.0')] ).
cnf(27246,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[25600,14146]),
[iquote('0:Res:25600.0,14146.0')] ).
cnf(27266,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,27246]),
[iquote('0:MRR:52.1,52.0,27246.0')] ).
cnf(27403,plain,
para(u,v,skc20,w),
inference(mrr,[status(thm)],[14794,27266]),
[iquote('0:MRR:14794.0,27266.0')] ).
cnf(27571,plain,
( ~ para(u,v,skc20,skc21)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[11251,27266]),
[iquote('0:MRR:11251.0,27266.0')] ).
cnf(27868,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[27571,27403]),
[iquote('0:MRR:27571.0,27403.0')] ).
cnf(27869,plain,
$false,
inference(unc,[status(thm)],[27868,173]),
[iquote('0:UnC:27868.0,173.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 01:41:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 18.10/18.28
% 18.10/18.28 SPASS V 3.9
% 18.10/18.28 SPASS beiseite: Proof found.
% 18.10/18.28 % SZS status Theorem
% 18.10/18.28 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.10/18.28 SPASS derived 25778 clauses, backtracked 7232 clauses, performed 7 splits and kept 19842 clauses.
% 18.10/18.28 SPASS allocated 103677 KBytes.
% 18.10/18.28 SPASS spent 0:0:17.78 on the problem.
% 18.10/18.28 0:00:00.04 for the input.
% 18.10/18.28 0:00:00.21 for the FLOTTER CNF translation.
% 18.10/18.28 0:00:00.42 for inferences.
% 18.10/18.28 0:00:00.33 for the backtracking.
% 18.10/18.28 0:0:16.39 for the reduction.
% 18.10/18.28
% 18.10/18.28
% 18.10/18.28 Here is a proof with depth 9, length 80 :
% 18.10/18.28 % SZS output start Refutation
% See solution above
% 18.10/18.28 Formulae used in the proof : exemplo6GDDFULL012014 ruleD66 ruleD5 ruleD7 ruleD8 ruleD14 ruleD15 ruleD16 ruleD39 ruleD40 ruleD41 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 18.10/18.28
%------------------------------------------------------------------------------