TSTP Solution File: SEU388+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 14:36:51 EDT 2022
% Result : Theorem 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 8 nHn; 19 RR)
% Number of literals : 55 ( 0 equ; 32 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
topological_space(skc19),
file('SEU388+1.p',unknown),
[] ).
cnf(2,axiom,
top_str(skc19),
file('SEU388+1.p',unknown),
[] ).
cnf(87,axiom,
~ empty_carrier(skc19),
file('SEU388+1.p',unknown),
[] ).
cnf(149,axiom,
element(skc20,the_carrier(skc19)),
file('SEU388+1.p',unknown),
[] ).
cnf(232,axiom,
( in(skc21,neighborhood_system(skc19,skc20))
| point_neighbourhood(skc21,skc19,skc20) ),
file('SEU388+1.p',unknown),
[] ).
cnf(281,axiom,
( ~ in(skc21,neighborhood_system(skc19,skc20))
| ~ point_neighbourhood(skc21,skc19,skc20) ),
file('SEU388+1.p',unknown),
[] ).
cnf(327,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ element(v,the_carrier(u))
| empty_carrier(u)
| equal(a_2_0_yellow19(u,v),neighborhood_system(u,v)) ),
file('SEU388+1.p',unknown),
[] ).
cnf(340,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ point_neighbourhood(v,u,w)
| ~ element(w,the_carrier(u))
| in(v,a_2_0_yellow19(u,w))
| empty_carrier(u) ),
file('SEU388+1.p',unknown),
[] ).
cnf(341,axiom,
( ~ topological_space(u)
| ~ top_str(u)
| ~ in(v,a_2_0_yellow19(u,w))
| ~ element(w,the_carrier(u))
| point_neighbourhood(v,u,w)
| empty_carrier(u) ),
file('SEU388+1.p',unknown),
[] ).
cnf(350,plain,
( ~ top_str(u)
| ~ topological_space(u)
| ~ element(v,the_carrier(u))
| ~ point_neighbourhood(w,u,v)
| empty_carrier(u)
| in(w,neighborhood_system(u,v)) ),
inference(rew,[status(thm),theory(equality)],[327,340]),
[iquote('0:Rew:327.4,340.4')] ).
cnf(351,plain,
( ~ top_str(u)
| ~ topological_space(u)
| ~ element(v,the_carrier(u))
| ~ in(w,neighborhood_system(u,v))
| empty_carrier(u)
| point_neighbourhood(w,u,v) ),
inference(rew,[status(thm),theory(equality)],[327,341]),
[iquote('0:Rew:327.4,341.2')] ).
cnf(491,plain,
( ~ topological_space(skc19)
| ~ top_str(skc19)
| ~ in(u,neighborhood_system(skc19,skc20))
| point_neighbourhood(u,skc19,skc20)
| empty_carrier(skc19) ),
inference(res,[status(thm),theory(equality)],[149,351]),
[iquote('0:Res:149.0,351.3')] ).
cnf(492,plain,
( ~ topological_space(skc19)
| ~ top_str(skc19)
| ~ point_neighbourhood(u,skc19,skc20)
| in(u,neighborhood_system(skc19,skc20))
| empty_carrier(skc19) ),
inference(res,[status(thm),theory(equality)],[149,350]),
[iquote('0:Res:149.0,350.3')] ).
cnf(529,plain,
( ~ in(u,neighborhood_system(skc19,skc20))
| point_neighbourhood(u,skc19,skc20) ),
inference(mrr,[status(thm)],[491,1,2,87]),
[iquote('0:MRR:491.0,491.1,491.4,1.0,2.0,87.0')] ).
cnf(530,plain,
point_neighbourhood(skc21,skc19,skc20),
inference(mrr,[status(thm)],[232,529]),
[iquote('0:MRR:232.0,529.0')] ).
cnf(531,plain,
~ in(skc21,neighborhood_system(skc19,skc20)),
inference(mrr,[status(thm)],[281,529]),
[iquote('0:MRR:281.1,529.1')] ).
cnf(532,plain,
( ~ point_neighbourhood(u,skc19,skc20)
| in(u,neighborhood_system(skc19,skc20)) ),
inference(mrr,[status(thm)],[492,1,2,87]),
[iquote('0:MRR:492.0,492.1,492.4,1.0,2.0,87.0')] ).
cnf(982,plain,
~ point_neighbourhood(skc21,skc19,skc20),
inference(res,[status(thm),theory(equality)],[532,531]),
[iquote('0:Res:532.1,531.0')] ).
cnf(988,plain,
$false,
inference(mrr,[status(thm)],[982,530]),
[iquote('0:MRR:982.0,530.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 10:53:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.56
% 0.18/0.56 SPASS V 3.9
% 0.18/0.56 SPASS beiseite: Proof found.
% 0.18/0.56 % SZS status Theorem
% 0.18/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 SPASS derived 547 clauses, backtracked 0 clauses, performed 0 splits and kept 563 clauses.
% 0.18/0.56 SPASS allocated 98493 KBytes.
% 0.18/0.56 SPASS spent 0:00:00.21 on the problem.
% 0.18/0.56 0:00:00.04 for the input.
% 0.18/0.56 0:00:00.07 for the FLOTTER CNF translation.
% 0.18/0.56 0:00:00.01 for inferences.
% 0.18/0.56 0:00:00.00 for the backtracking.
% 0.18/0.56 0:00:00.04 for the reduction.
% 0.18/0.56
% 0.18/0.56
% 0.18/0.56 Here is a proof with depth 2, length 19 :
% 0.18/0.56 % SZS output start Refutation
% See solution above
% 0.18/0.56 Formulae used in the proof : t3_yellow19 d1_yellow19 fraenkel_a_2_0_yellow19
% 0.18/0.56
%------------------------------------------------------------------------------