TSTP Solution File: SEU341+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 14:36:25 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 9 unt; 1 nHn; 15 RR)
% Number of literals : 45 ( 0 equ; 31 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
topological_space(skc6),
file('SEU341+1.p',unknown),
[] ).
cnf(2,axiom,
top_str(skc6),
file('SEU341+1.p',unknown),
[] ).
cnf(16,axiom,
~ empty_carrier(skc6),
file('SEU341+1.p',unknown),
[] ).
cnf(17,axiom,
in(skc8,skc7),
file('SEU341+1.p',unknown),
[] ).
cnf(18,axiom,
open_subset(skc7,skc6),
file('SEU341+1.p',unknown),
[] ).
cnf(22,axiom,
element(skc8,the_carrier(skc6)),
file('SEU341+1.p',unknown),
[] ).
cnf(25,axiom,
element(skc7,powerset(the_carrier(skc6))),
file('SEU341+1.p',unknown),
[] ).
cnf(26,axiom,
~ point_neighbourhood(skc7,skc6,skc8),
file('SEU341+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ element(v,the_carrier(u))
| ~ element(w,powerset(the_carrier(u)))
| ~ in(v,interior(u,w))
| empty_carrier(u)
| point_neighbourhood(w,u,v) ),
file('SEU341+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ top_str(v)
| ~ open_subset(w,v)
| ~ element(x,powerset(the_carrier(u)))
| ~ element(w,powerset(the_carrier(v)))
| equal(interior(v,w),w) ),
file('SEU341+1.p',unknown),
[] ).
cnf(134,plain,
( ~ topological_space(skc6)
| ~ top_str(skc6)
| ~ in(skc8,interior(skc6,skc7))
| ~ element(skc8,the_carrier(skc6))
| ~ element(skc7,powerset(the_carrier(skc6)))
| empty_carrier(skc6) ),
inference(res,[status(thm),theory(equality)],[84,26]),
[iquote('0:Res:84.5,26.0')] ).
cnf(168,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ top_str(skc6)
| ~ open_subset(skc7,skc6)
| ~ element(v,powerset(the_carrier(u)))
| equal(interior(skc6,skc7),skc7) ),
inference(res,[status(thm),theory(equality)],[25,86]),
[iquote('0:Res:25.0,86.5')] ).
cnf(184,plain,
( ~ top_str(u)
| ~ topological_space(u)
| ~ element(v,powerset(the_carrier(u)))
| equal(interior(skc6,skc7),skc7) ),
inference(mrr,[status(thm)],[168,2,18]),
[iquote('0:MRR:168.2,168.3,2.0,18.0')] ).
cnf(187,plain,
( ~ topological_space(skc6)
| ~ top_str(skc6)
| ~ in(skc8,skc7)
| ~ element(skc8,the_carrier(skc6))
| ~ element(skc7,powerset(the_carrier(skc6)))
| empty_carrier(skc6) ),
inference(rew,[status(thm),theory(equality)],[184,134]),
[iquote('0:Rew:184.3,134.2')] ).
cnf(188,plain,
$false,
inference(mrr,[status(thm)],[187,1,2,17,22,25,16]),
[iquote('0:MRR:187.0,187.1,187.2,187.3,187.4,187.5,1.0,2.0,17.0,22.0,25.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 10:44:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47
% 0.20/0.47 SPASS V 3.9
% 0.20/0.47 SPASS beiseite: Proof found.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 SPASS derived 86 clauses, backtracked 0 clauses, performed 0 splits and kept 156 clauses.
% 0.20/0.47 SPASS allocated 97785 KBytes.
% 0.20/0.47 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.47 0:00:00.04 for the input.
% 0.20/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.47 0:00:00.00 for inferences.
% 0.20/0.47 0:00:00.00 for the backtracking.
% 0.20/0.47 0:00:00.00 for the reduction.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Here is a proof with depth 1, length 15 :
% 0.20/0.47 % SZS output start Refutation
% See solution above
% 0.20/0.47 Formulae used in the proof : t5_connsp_2 d1_connsp_2 t55_tops_1
% 0.20/0.47
%------------------------------------------------------------------------------