TSTP Solution File: GEO556+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:25:13 EDT 2022
% Result : Theorem 17.87s 18.09s
% Output : Refutation 17.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 15 unt; 2 nHn; 47 RR)
% Number of literals : 100 ( 0 equ; 52 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
perp(skc14,skc15,skc17,skc16),
file('GEO556+1.p',unknown),
[] ).
cnf(16,axiom,
~ perp(skc16,skc13,skc15,skc11),
file('GEO556+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO556+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO556+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO556+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO556+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO556+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO556+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO556+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO556+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO556+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO556+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO556+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO556+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO556+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO556+1.p',unknown),
[] ).
cnf(129,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('GEO556+1.p',unknown),
[] ).
cnf(399,plain,
perp(skc17,skc16,skc14,skc15),
inference(res,[status(thm),theory(equality)],[15,26]),
[iquote('0:Res:15.0,26.0')] ).
cnf(648,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[43,41]),
[iquote('0:Res:43.1,41.0')] ).
cnf(880,plain,
( ~ perp(u,v,skc17,skc16)
| para(u,v,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[399,52]),
[iquote('0:Res:399.0,52.0')] ).
cnf(1238,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[42,65]),
[iquote('0:Res:42.1,65.0')] ).
cnf(1271,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[42,63]),
[iquote('0:Res:42.1,63.0')] ).
cnf(2257,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)],[43,129]),
[iquote('0:Res:43.1,129.3')] ).
cnf(2259,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)],[2257]),
[iquote('0:Obv:2257.0')] ).
cnf(2260,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2259]),
[iquote('0:Con:2259.2')] ).
cnf(4094,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1238,70]),
[iquote('0:Res:1238.1,70.0')] ).
cnf(4105,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1238,87]),
[iquote('0:Res:1238.1,87.1')] ).
cnf(4123,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4105,4094]),
[iquote('0:MRR:4105.1,4094.1')] ).
cnf(4344,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1271,41]),
[iquote('0:Res:1271.1,41.0')] ).
cnf(16549,plain,
( ~ perp(skc14,skc15,skc17,skc16)
| cyclic(skc15,skc15,skc14,u) ),
inference(res,[status(thm),theory(equality)],[880,4123]),
[iquote('0:Res:880.1,4123.0')] ).
cnf(16575,plain,
cyclic(skc15,skc15,skc14,u),
inference(mrr,[status(thm)],[16549,15]),
[iquote('0:MRR:16549.0,15.0')] ).
cnf(16611,plain,
para(skc14,skc15,skc14,skc15),
inference(res,[status(thm),theory(equality)],[16575,648]),
[iquote('0:Res:16575.0,648.0')] ).
cnf(16984,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[16611,4344]),
[iquote('0:Res:16611.0,4344.0')] ).
cnf(16991,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4123,16984]),
[iquote('0:MRR:4123.0,16984.0')] ).
cnf(20027,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16991,103]),
[iquote('0:Res:16991.0,103.0')] ).
cnf(20028,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16991,55]),
[iquote('0:Res:16991.0,55.0')] ).
cnf(20079,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20028,16991]),
[iquote('0:MRR:20028.0,16991.0')] ).
cnf(20083,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[129,20079]),
[iquote('0:MRR:129.2,129.1,129.0,20079.0')] ).
cnf(20098,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[77,20079]),
[iquote('0:MRR:77.1,20079.0')] ).
cnf(20100,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2260,20079]),
[iquote('0:MRR:2260.1,2260.0,20079.0')] ).
cnf(20352,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20027,20100]),
[iquote('0:MRR:20027.0,20027.1,20100.0,20100.0')] ).
cnf(20369,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[100,20352]),
[iquote('0:MRR:100.0,20352.0')] ).
cnf(20378,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20098,20352]),
[iquote('0:MRR:20098.0,20352.0')] ).
cnf(24497,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20378,20369]),
[iquote('0:Res:20378.0,20369.0')] ).
cnf(26606,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24497,20083]),
[iquote('0:Res:24497.0,20083.0')] ).
cnf(26626,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[57,26606]),
[iquote('0:MRR:57.1,57.0,26606.0')] ).
cnf(26642,plain,
$false,
inference(unc,[status(thm)],[26626,16]),
[iquote('0:UnC:26626.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO556+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 10:09:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 17.87/18.09
% 17.87/18.09 SPASS V 3.9
% 17.87/18.09 SPASS beiseite: Proof found.
% 17.87/18.09 % SZS status Theorem
% 17.87/18.09 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.87/18.09 SPASS derived 26219 clauses, backtracked 0 clauses, performed 0 splits and kept 13598 clauses.
% 17.87/18.09 SPASS allocated 101742 KBytes.
% 17.87/18.09 SPASS spent 0:0:17.58 on the problem.
% 17.87/18.09 0:00:00.04 for the input.
% 17.87/18.09 0:00:00.21 for the FLOTTER CNF translation.
% 17.87/18.09 0:00:00.47 for inferences.
% 17.87/18.09 0:00:00.00 for the backtracking.
% 17.87/18.09 0:0:16.22 for the reduction.
% 17.87/18.09
% 17.87/18.09
% 17.87/18.09 Here is a proof with depth 5, length 47 :
% 17.87/18.09 % SZS output start Refutation
% See solution above
% 17.87/18.09 Formulae used in the proof : exemplo6GDDFULL012016 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 17.87/18.09
%------------------------------------------------------------------------------