TSTP Solution File: SEU399+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 : Tue Jul 19 14:36:56 EDT 2022
% Result : Theorem 3.33s 3.54s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 16 unt; 30 nHn; 56 RR)
% Number of literals : 229 ( 0 equ; 137 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
topological_space(skc8),
file('SEU399+1.p',unknown),
[] ).
cnf(2,axiom,
top_str(skc8),
file('SEU399+1.p',unknown),
[] ).
cnf(3,axiom,
directed_relstr(skc7),
file('SEU399+1.p',unknown),
[] ).
cnf(4,axiom,
transitive_relstr(skc7),
file('SEU399+1.p',unknown),
[] ).
cnf(10,axiom,
~ empty_carrier(skc8),
file('SEU399+1.p',unknown),
[] ).
cnf(11,axiom,
net_str(skc7,skc8),
file('SEU399+1.p',unknown),
[] ).
cnf(12,axiom,
~ empty_carrier(skc7),
file('SEU399+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ top_str(u)
| one_sorted_str(u) ),
file('SEU399+1.p',unknown),
[] ).
cnf(58,axiom,
( in(skf19(u),u)
| in(skf19(u),the_carrier(skc7)) ),
file('SEU399+1.p',unknown),
[] ).
cnf(59,axiom,
( in(skf19(u),u)
| element(skf19(u),the_carrier(skc7)) ),
file('SEU399+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ one_sorted_str(u)
| ~ net_str(v,u)
| rel_str(v) ),
file('SEU399+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ equal(skf39(u,v,w),skf39(u,v,w))
| skP0(x,y,z) ),
file('SEU399+1.p',unknown),
[] ).
cnf(126,axiom,
( in(skf19(u),u)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(u))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(u)))),skc8,skc7) ),
file('SEU399+1.p',unknown),
[] ).
cnf(129,axiom,
( in(skf19(u),u)
| equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(u))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(u))))),skc9) ),
file('SEU399+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ directed_relstr(v)
| ~ transitive_relstr(v)
| ~ in(w,skf38(x,u,v))
| ~ net_str(v,u)
| ~ skP0(x,v,u)
| element(w,the_carrier(v))
| empty_carrier(u)
| empty_carrier(v) ),
file('SEU399+1.p',unknown),
[] ).
cnf(148,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ directed_relstr(v)
| ~ transitive_relstr(v)
| ~ in(w,skf38(x,u,v))
| ~ net_str(v,u)
| ~ skP0(x,v,u)
| in(w,the_carrier(v))
| empty_carrier(u)
| empty_carrier(v) ),
file('SEU399+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ directed_relstr(v)
| ~ transitive_relstr(v)
| ~ in(w,skf38(x,u,v))
| ~ net_str(v,u)
| ~ skP0(x,v,u)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(u,v,w)),the_carrier(u),the_mapping(u,subnetstr_of_element(u,v,w))),u,v)
| empty_carrier(u)
| empty_carrier(v) ),
file('SEU399+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ directed_relstr(v)
| ~ transitive_relstr(v)
| ~ in(w,skf38(x,u,v))
| ~ net_str(v,u)
| ~ skP0(x,v,u)
| equal(x,topstr_closure(u,relation_rng_as_subset(the_carrier(subnetstr_of_element(u,v,w)),the_carrier(u),the_mapping(u,subnetstr_of_element(u,v,w)))))
| empty_carrier(u)
| empty_carrier(v) ),
file('SEU399+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ element(u,the_carrier(v))
| ~ in(u,the_carrier(v))
| ~ equal(w,topstr_closure(x,relation_rng_as_subset(the_carrier(subnetstr_of_element(x,v,u)),the_carrier(x),the_mapping(x,subnetstr_of_element(x,v,u)))))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(x,v,u)),the_carrier(x),the_mapping(x,subnetstr_of_element(x,v,u))),x,v)
| in(u,skf38(w,x,v)) ),
file('SEU399+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ in(skf19(u),u)
| ~ element(skf19(u),the_carrier(skc7))
| ~ in(skf19(u),the_carrier(skc7))
| ~ equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(u))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(u))))),skc9)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(u))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(u)))),skc8,skc7) ),
file('SEU399+1.p',unknown),
[] ).
cnf(158,plain,
skP0(u,v,w),
inference(obv,[status(thm),theory(equality)],[95]),
[iquote('0:Obv:95.0')] ).
cnf(161,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ top_str(v)
| ~ topological_space(v)
| ~ net_str(u,v)
| ~ in(w,skf38(x,v,u))
| empty_carrier(u)
| empty_carrier(v)
| element(w,the_carrier(u)) ),
inference(mrr,[status(thm)],[147,158]),
[iquote('0:MRR:147.6,158.0')] ).
cnf(162,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ top_str(v)
| ~ topological_space(v)
| ~ net_str(u,v)
| ~ in(w,skf38(x,v,u))
| empty_carrier(u)
| empty_carrier(v)
| in(w,the_carrier(u)) ),
inference(mrr,[status(thm)],[148,158]),
[iquote('0:MRR:148.6,158.0')] ).
cnf(163,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ top_str(v)
| ~ topological_space(v)
| ~ net_str(u,v)
| ~ in(w,skf38(x,v,u))
| empty_carrier(u)
| empty_carrier(v)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(v,u,w)),the_carrier(v),the_mapping(v,subnetstr_of_element(v,u,w))),v,u) ),
inference(mrr,[status(thm)],[153,158]),
[iquote('0:MRR:153.6,158.0')] ).
cnf(164,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ top_str(v)
| ~ topological_space(v)
| ~ net_str(u,v)
| ~ in(w,skf38(x,v,u))
| empty_carrier(u)
| empty_carrier(v)
| equal(x,topstr_closure(v,relation_rng_as_subset(the_carrier(subnetstr_of_element(v,u,w)),the_carrier(v),the_mapping(v,subnetstr_of_element(v,u,w))))) ),
inference(mrr,[status(thm)],[154,158]),
[iquote('0:MRR:154.6,158.0')] ).
cnf(245,plain,
one_sorted_str(skc8),
inference(res,[status(thm),theory(equality)],[2,30]),
[iquote('0:Res:2.0,30.0')] ).
cnf(246,plain,
( ~ top_str(skc8)
| ~ directed_relstr(u)
| ~ transitive_relstr(u)
| ~ in(v,skf38(w,skc8,u))
| ~ net_str(u,skc8)
| equal(w,topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,u,v)),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,u,v)))))
| empty_carrier(skc8)
| empty_carrier(u) ),
inference(res,[status(thm),theory(equality)],[1,164]),
[iquote('0:Res:1.0,164.0')] ).
cnf(247,plain,
( ~ top_str(skc8)
| ~ directed_relstr(u)
| ~ transitive_relstr(u)
| ~ in(v,skf38(w,skc8,u))
| ~ net_str(u,skc8)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,u,v)),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,u,v))),skc8,u)
| empty_carrier(skc8)
| empty_carrier(u) ),
inference(res,[status(thm),theory(equality)],[1,163]),
[iquote('0:Res:1.0,163.0')] ).
cnf(248,plain,
( ~ top_str(skc8)
| ~ directed_relstr(u)
| ~ transitive_relstr(u)
| ~ in(v,skf38(w,skc8,u))
| ~ net_str(u,skc8)
| in(v,the_carrier(u))
| empty_carrier(skc8)
| empty_carrier(u) ),
inference(res,[status(thm),theory(equality)],[1,162]),
[iquote('0:Res:1.0,162.0')] ).
cnf(249,plain,
( ~ top_str(skc8)
| ~ directed_relstr(u)
| ~ transitive_relstr(u)
| ~ in(v,skf38(w,skc8,u))
| ~ net_str(u,skc8)
| element(v,the_carrier(u))
| empty_carrier(skc8)
| empty_carrier(u) ),
inference(res,[status(thm),theory(equality)],[1,161]),
[iquote('0:Res:1.0,161.0')] ).
cnf(380,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ net_str(u,skc8)
| ~ in(v,skf38(w,skc8,u))
| empty_carrier(u)
| element(v,the_carrier(u)) ),
inference(mrr,[status(thm)],[249,2,10]),
[iquote('0:MRR:249.0,249.6,2.0,10.0')] ).
cnf(381,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ net_str(u,skc8)
| ~ in(v,skf38(w,skc8,u))
| empty_carrier(u)
| in(v,the_carrier(u)) ),
inference(mrr,[status(thm)],[248,2,10]),
[iquote('0:MRR:248.0,248.6,2.0,10.0')] ).
cnf(388,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ net_str(u,skc8)
| ~ in(v,skf38(w,skc8,u))
| empty_carrier(u)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,u,v)),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,u,v))),skc8,u) ),
inference(mrr,[status(thm)],[247,2,10]),
[iquote('0:MRR:247.0,247.6,2.0,10.0')] ).
cnf(390,plain,
( ~ transitive_relstr(u)
| ~ directed_relstr(u)
| ~ net_str(u,skc8)
| ~ in(v,skf38(w,skc8,u))
| empty_carrier(u)
| equal(w,topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,u,v)),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,u,v))))) ),
inference(mrr,[status(thm)],[246,2,10]),
[iquote('0:MRR:246.0,246.6,2.0,10.0')] ).
cnf(402,plain,
( ~ one_sorted_str(skc8)
| rel_str(skc7) ),
inference(res,[status(thm),theory(equality)],[11,73]),
[iquote('0:Res:11.0,73.1')] ).
cnf(404,plain,
rel_str(skc7),
inference(ssi,[status(thm)],[402,1,2,245]),
[iquote('0:SSi:402.0,1.0,2.0,245.0')] ).
cnf(1064,plain,
( ~ element(u,the_carrier(v))
| ~ in(u,the_carrier(v))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(w,v,u)),the_carrier(w),the_mapping(w,subnetstr_of_element(w,v,u))),w,v)
| in(u,skf38(topstr_closure(w,relation_rng_as_subset(the_carrier(subnetstr_of_element(w,v,u)),the_carrier(w),the_mapping(w,subnetstr_of_element(w,v,u)))),w,v)) ),
inference(eqr,[status(thm),theory(equality)],[155]),
[iquote('0:EqR:155.2')] ).
cnf(7176,plain,
( ~ element(skf19(u),the_carrier(skc7))
| ~ in(skf19(u),the_carrier(skc7))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(u))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(u)))),skc8,skc7)
| in(skf19(u),u)
| in(skf19(u),skf38(skc9,skc8,skc7)) ),
inference(spr,[status(thm),theory(equality)],[129,1064]),
[iquote('0:SpR:129.1,1064.3')] ).
cnf(7210,plain,
( in(skf19(u),u)
| in(skf19(u),skf38(skc9,skc8,skc7)) ),
inference(mrr,[status(thm)],[7176,59,58,126]),
[iquote('0:MRR:7176.0,7176.1,7176.2,59.1,58.1,126.1')] ).
cnf(7254,plain,
in(skf19(skf38(skc9,skc8,skc7)),skf38(skc9,skc8,skc7)),
inference(fac,[status(thm)],[7210]),
[iquote('0:Fac:7210.0,7210.1')] ).
cnf(7286,plain,
( ~ transitive_relstr(skc7)
| ~ directed_relstr(skc7)
| ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))))),skc9) ),
inference(res,[status(thm),theory(equality)],[7254,390]),
[iquote('0:Res:7254.0,390.3')] ).
cnf(7287,plain,
( ~ transitive_relstr(skc7)
| ~ directed_relstr(skc7)
| ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7))))),skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[7254,388]),
[iquote('0:Res:7254.0,388.3')] ).
cnf(7288,plain,
( ~ transitive_relstr(skc7)
| ~ directed_relstr(skc7)
| ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)) ),
inference(res,[status(thm),theory(equality)],[7254,380]),
[iquote('0:Res:7254.0,380.3')] ).
cnf(7289,plain,
( ~ transitive_relstr(skc7)
| ~ directed_relstr(skc7)
| ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)) ),
inference(res,[status(thm),theory(equality)],[7254,381]),
[iquote('0:Res:7254.0,381.3')] ).
cnf(7294,plain,
( ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)) ),
inference(ssi,[status(thm)],[7289,4,3,404]),
[iquote('0:SSi:7289.1,7289.0,4.0,3.0,404.0,4.0,3.0,404.0')] ).
cnf(7295,plain,
in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)),
inference(mrr,[status(thm)],[7294,11,12]),
[iquote('0:MRR:7294.0,7294.1,11.0,12.0')] ).
cnf(7296,plain,
( ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)) ),
inference(ssi,[status(thm)],[7288,4,3,404]),
[iquote('0:SSi:7288.1,7288.0,4.0,3.0,404.0,4.0,3.0,404.0')] ).
cnf(7297,plain,
element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)),
inference(mrr,[status(thm)],[7296,11,12]),
[iquote('0:MRR:7296.0,7296.1,11.0,12.0')] ).
cnf(7298,plain,
( ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7))))),skc8,skc7) ),
inference(ssi,[status(thm)],[7287,4,3,404]),
[iquote('0:SSi:7287.1,7287.0,4.0,3.0,404.0,4.0,3.0,404.0')] ).
cnf(7299,plain,
netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7))))),skc8,skc7),
inference(mrr,[status(thm)],[7298,11,12]),
[iquote('0:MRR:7298.0,7298.1,11.0,12.0')] ).
cnf(7300,plain,
( ~ net_str(skc7,skc8)
| empty_carrier(skc7)
| equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))))),skc9) ),
inference(ssi,[status(thm)],[7286,4,3,404]),
[iquote('0:SSi:7286.1,7286.0,4.0,3.0,404.0,4.0,3.0,404.0')] ).
cnf(7301,plain,
equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))))),skc9),
inference(mrr,[status(thm)],[7300,11,12]),
[iquote('0:MRR:7300.0,7300.1,11.0,12.0')] ).
cnf(7348,plain,
( ~ in(skf19(skf38(skc9,skc8,skc7)),skf38(skc9,skc8,skc7))
| ~ element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7))
| ~ in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7))
| ~ equal(topstr_closure(skc8,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))),the_carrier(skc8),the_mapping(skc8,subnetstr_of_element(skc8,skc7,skf19(skf38(skc9,skc8,skc7)))))),skc9) ),
inference(res,[status(thm),theory(equality)],[7299,156]),
[iquote('0:Res:7299.0,156.4')] ).
cnf(7377,plain,
( ~ in(skf19(skf38(skc9,skc8,skc7)),skf38(skc9,skc8,skc7))
| ~ element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7))
| ~ in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7))
| ~ equal(skc9,skc9) ),
inference(rew,[status(thm),theory(equality)],[7301,7348]),
[iquote('0:Rew:7301.0,7348.3')] ).
cnf(7378,plain,
( ~ in(skf19(skf38(skc9,skc8,skc7)),skf38(skc9,skc8,skc7))
| ~ element(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7))
| ~ in(skf19(skf38(skc9,skc8,skc7)),the_carrier(skc7)) ),
inference(obv,[status(thm),theory(equality)],[7377]),
[iquote('0:Obv:7377.3')] ).
cnf(7379,plain,
$false,
inference(mrr,[status(thm)],[7378,7254,7297,7295]),
[iquote('0:MRR:7378.0,7378.1,7378.2,7254.0,7297.0,7295.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n007.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 : Mon Jun 20 04:40:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 3.33/3.54
% 3.33/3.54 SPASS V 3.9
% 3.33/3.54 SPASS beiseite: Proof found.
% 3.33/3.54 % SZS status Theorem
% 3.33/3.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.33/3.54 SPASS derived 4236 clauses, backtracked 37 clauses, performed 2 splits and kept 2488 clauses.
% 3.33/3.54 SPASS allocated 109198 KBytes.
% 3.33/3.54 SPASS spent 0:00:03.17 on the problem.
% 3.33/3.54 0:00:00.04 for the input.
% 3.33/3.54 0:00:00.10 for the FLOTTER CNF translation.
% 3.33/3.54 0:00:00.15 for inferences.
% 3.33/3.54 0:00:00.01 for the backtracking.
% 3.33/3.54 0:00:02.77 for the reduction.
% 3.33/3.54
% 3.33/3.54
% 3.33/3.54 Here is a proof with depth 5, length 56 :
% 3.33/3.54 % SZS output start Refutation
% See solution above
% 3.52/3.78 Formulae used in the proof : s1_xboole_0__e6_39_3__yellow19__1 antisymmetry_r2_hidden dt_l1_pre_topc dt_l1_waybel_0 s1_tarski__e6_39_3__yellow19__1
% 3.52/3.78
%------------------------------------------------------------------------------