%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 14:35:42 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 7 unt; 2 nHn; 23 RR)
% Number of literals : 60 ( 0 equ; 36 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(35,axiom,
relation(inclusion_relation(u)),
file('SEU268+1.p',unknown),
[] ).
cnf(38,axiom,
subset(u,u),
file('SEU268+1.p',unknown),
[] ).
cnf(39,axiom,
~ reflexive(inclusion_relation(skc10)),
file('SEU268+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ relation(u)
| ~ is_reflexive_in(u,relation_field(u))
| reflexive(u) ),
file('SEU268+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ relation(u)
| is_reflexive_in(u,v)
| in(skf4(v,w),v) ),
file('SEU268+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ relation(u)
| ~ equal(u,inclusion_relation(v))
| equal(relation_field(u),v) ),
file('SEU268+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ relation(u)
| ~ in(ordered_pair(skf4(v,u),skf4(v,u)),u)
| is_reflexive_in(u,v) ),
file('SEU268+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ relation(u)
| ~ subset(v,w)
| ~ in(w,x)
| ~ in(v,x)
| ~ equal(u,inclusion_relation(x))
| in(ordered_pair(v,w),u) ),
file('SEU268+1.p',unknown),
[] ).
cnf(179,plain,
( ~ relation(inclusion_relation(u))
| equal(relation_field(inclusion_relation(u)),u) ),
inference(eqr,[status(thm),theory(equality)],[69]),
[iquote('0:EqR:69.1')] ).
cnf(180,plain,
equal(relation_field(inclusion_relation(u)),u),
inference(ssi,[status(thm)],[179,35]),
[iquote('0:SSi:179.0,35.0')] ).
cnf(186,plain,
( ~ relation(inclusion_relation(u))
| ~ is_reflexive_in(inclusion_relation(u),u)
| reflexive(inclusion_relation(u)) ),
inference(spl,[status(thm),theory(equality)],[180,65]),
[iquote('0:SpL:180.0,65.1')] ).
cnf(190,plain,
( ~ is_reflexive_in(inclusion_relation(u),u)
| reflexive(inclusion_relation(u)) ),
inference(ssi,[status(thm)],[186,35]),
[iquote('0:SSi:186.0,35.0')] ).
cnf(290,plain,
( ~ relation(inclusion_relation(u))
| ~ subset(v,w)
| ~ in(w,u)
| ~ in(v,u)
| in(ordered_pair(v,w),inclusion_relation(u)) ),
inference(eqr,[status(thm),theory(equality)],[77]),
[iquote('0:EqR:77.4')] ).
cnf(291,plain,
( ~ subset(u,v)
| ~ in(v,w)
| ~ in(u,w)
| in(ordered_pair(u,v),inclusion_relation(w)) ),
inference(ssi,[status(thm)],[290,35]),
[iquote('0:SSi:290.0,35.0')] ).
cnf(972,plain,
( ~ relation(inclusion_relation(u))
| ~ subset(skf4(v,inclusion_relation(u)),skf4(v,inclusion_relation(u)))
| ~ in(skf4(v,inclusion_relation(u)),u)
| ~ in(skf4(v,inclusion_relation(u)),u)
| is_reflexive_in(inclusion_relation(u),v) ),
inference(res,[status(thm),theory(equality)],[291,73]),
[iquote('0:Res:291.3,73.1')] ).
cnf(977,plain,
( ~ relation(inclusion_relation(u))
| ~ subset(skf4(v,inclusion_relation(u)),skf4(v,inclusion_relation(u)))
| ~ in(skf4(v,inclusion_relation(u)),u)
| is_reflexive_in(inclusion_relation(u),v) ),
inference(obv,[status(thm),theory(equality)],[972]),
[iquote('0:Obv:972.2')] ).
cnf(978,plain,
( ~ subset(skf4(u,inclusion_relation(v)),skf4(u,inclusion_relation(v)))
| ~ in(skf4(u,inclusion_relation(v)),v)
| is_reflexive_in(inclusion_relation(v),u) ),
inference(ssi,[status(thm)],[977,35]),
[iquote('0:SSi:977.0,35.0')] ).
cnf(979,plain,
( ~ in(skf4(u,inclusion_relation(v)),v)
| is_reflexive_in(inclusion_relation(v),u) ),
inference(mrr,[status(thm)],[978,38]),
[iquote('0:MRR:978.0,38.0')] ).
cnf(993,plain,
( ~ relation(u)
| is_reflexive_in(u,v)
| is_reflexive_in(inclusion_relation(v),v) ),
inference(res,[status(thm),theory(equality)],[67,979]),
[iquote('0:Res:67.2,979.0')] ).
cnf(994,plain,
( ~ relation(inclusion_relation(u))
| is_reflexive_in(inclusion_relation(u),u) ),
inference(fac,[status(thm)],[993]),
[iquote('0:Fac:993.1,993.2')] ).
cnf(1006,plain,
is_reflexive_in(inclusion_relation(u),u),
inference(ssi,[status(thm)],[994,35]),
[iquote('0:SSi:994.0,35.0')] ).
cnf(1007,plain,
reflexive(inclusion_relation(u)),
inference(mrr,[status(thm)],[190,1006]),
[iquote('0:MRR:190.0,1006.0')] ).
cnf(1008,plain,
$false,
inference(unc,[status(thm)],[1007,39]),
[iquote('0:UnC:1007.0,39.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 04:45:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54
% 0.19/0.54 SPASS V 3.9
% 0.19/0.54 SPASS beiseite: Proof found.
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 SPASS derived 711 clauses, backtracked 0 clauses, performed 0 splits and kept 400 clauses.
% 0.19/0.54 SPASS allocated 98605 KBytes.
% 0.19/0.54 SPASS spent 0:00:00.19 on the problem.
% 0.19/0.54 0:00:00.04 for the input.
% 0.19/0.54 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.54 0:00:00.01 for inferences.
% 0.19/0.54 0:00:00.00 for the backtracking.
% 0.19/0.54 0:00:00.08 for the reduction.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 Here is a proof with depth 4, length 23 :
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 Formulae used in the proof : dt_k1_wellord2 reflexivity_r1_tarski t2_wellord2 d9_relat_2 d1_relat_2 d1_wellord2
% 0.19/0.54
%------------------------------------------------------------------------------