TSTP Solution File: SEU314+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU314+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 14:36:10 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 9 unt; 9 nHn; 38 RR)
% Number of literals : 115 ( 0 equ; 71 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
top_str(skc3),
file('SEU314+1.p',unknown),
[] ).
cnf(2,axiom,
topological_space(skc3),
file('SEU314+1.p',unknown),
[] ).
cnf(12,axiom,
element(skc4,powerset(the_carrier(skc3))),
file('SEU314+1.p',unknown),
[] ).
cnf(28,axiom,
( in(skf6(u),u)
| closed_subset(skf6(u),skc3) ),
file('SEU314+1.p',unknown),
[] ).
cnf(29,axiom,
( subset(skc4,skf6(u))
| in(skf6(u),u) ),
file('SEU314+1.p',unknown),
[] ).
cnf(48,axiom,
( in(skf6(u),u)
| in(skf6(u),powerset(the_carrier(skc3))) ),
file('SEU314+1.p',unknown),
[] ).
cnf(49,axiom,
( in(skf6(u),u)
| element(skf6(u),powerset(the_carrier(skc3))) ),
file('SEU314+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ equal(skf13(u,v),skf13(u,v))
| skP0(u,v) ),
file('SEU314+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(the_carrier(u)))
| ~ skP0(w,u)
| subset(w,v) ),
file('SEU314+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(the_carrier(u)))
| ~ skP0(w,u)
| closed_subset(v,u) ),
file('SEU314+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ subset(u,v)
| ~ closed_subset(v,w)
| ~ element(v,powerset(the_carrier(w)))
| ~ in(v,powerset(the_carrier(w)))
| in(v,skf12(u,w)) ),
file('SEU314+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(the_carrier(u)))
| ~ skP0(w,u)
| element(v,powerset(the_carrier(u))) ),
file('SEU314+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ top_str(u)
| ~ topological_space(u)
| ~ in(v,skf12(w,u))
| ~ element(w,powerset(the_carrier(u)))
| ~ skP0(w,u)
| in(v,powerset(the_carrier(u))) ),
file('SEU314+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ subset(skc4,skf6(u))
| ~ in(skf6(u),u)
| ~ closed_subset(skf6(u),skc3)
| ~ element(skf6(u),powerset(the_carrier(skc3)))
| ~ in(skf6(u),powerset(the_carrier(skc3))) ),
file('SEU314+1.p',unknown),
[] ).
cnf(73,plain,
skP0(u,v),
inference(obv,[status(thm),theory(equality)],[66]),
[iquote('0:Obv:66.0')] ).
cnf(74,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(the_carrier(u)))
| ~ in(w,skf12(v,u))
| subset(v,w) ),
inference(mrr,[status(thm)],[67,73]),
[iquote('0:MRR:67.4,73.0')] ).
cnf(75,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(the_carrier(u)))
| ~ in(w,skf12(v,u))
| closed_subset(w,u) ),
inference(mrr,[status(thm)],[68,73]),
[iquote('0:MRR:68.4,73.0')] ).
cnf(76,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(the_carrier(u)))
| ~ in(w,skf12(v,u))
| element(w,powerset(the_carrier(u))) ),
inference(mrr,[status(thm)],[70,73]),
[iquote('0:MRR:70.4,73.0')] ).
cnf(77,plain,
( ~ topological_space(u)
| ~ top_str(u)
| ~ element(v,powerset(the_carrier(u)))
| ~ in(w,skf12(v,u))
| in(w,powerset(the_carrier(u))) ),
inference(mrr,[status(thm)],[71,73]),
[iquote('0:MRR:71.4,73.0')] ).
cnf(104,plain,
( ~ top_str(skc3)
| ~ topological_space(skc3)
| ~ in(u,skf12(skc4,skc3))
| in(u,powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[12,77]),
[iquote('0:Res:12.0,77.3')] ).
cnf(105,plain,
( ~ top_str(skc3)
| ~ topological_space(skc3)
| ~ in(u,skf12(skc4,skc3))
| element(u,powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[12,76]),
[iquote('0:Res:12.0,76.3')] ).
cnf(106,plain,
( ~ top_str(skc3)
| ~ topological_space(skc3)
| ~ in(u,skf12(skc4,skc3))
| closed_subset(u,skc3) ),
inference(res,[status(thm),theory(equality)],[12,75]),
[iquote('0:Res:12.0,75.3')] ).
cnf(107,plain,
( ~ top_str(skc3)
| ~ topological_space(skc3)
| ~ in(u,skf12(skc4,skc3))
| subset(skc4,u) ),
inference(res,[status(thm),theory(equality)],[12,74]),
[iquote('0:Res:12.0,74.3')] ).
cnf(125,plain,
( ~ in(u,skf12(skc4,skc3))
| closed_subset(u,skc3) ),
inference(mrr,[status(thm)],[106,1,2]),
[iquote('0:MRR:106.0,106.1,1.0,2.0')] ).
cnf(126,plain,
( ~ in(u,skf12(skc4,skc3))
| subset(skc4,u) ),
inference(mrr,[status(thm)],[107,1,2]),
[iquote('0:MRR:107.0,107.1,1.0,2.0')] ).
cnf(127,plain,
( ~ in(u,skf12(skc4,skc3))
| in(u,powerset(the_carrier(skc3))) ),
inference(mrr,[status(thm)],[104,1,2]),
[iquote('0:MRR:104.0,104.1,1.0,2.0')] ).
cnf(128,plain,
( ~ in(u,skf12(skc4,skc3))
| element(u,powerset(the_carrier(skc3))) ),
inference(mrr,[status(thm)],[105,1,2]),
[iquote('0:MRR:105.0,105.1,1.0,2.0')] ).
cnf(569,plain,
( subset(skc4,skf6(skf12(skc4,skc3)))
| subset(skc4,skf6(skf12(skc4,skc3))) ),
inference(res,[status(thm),theory(equality)],[29,126]),
[iquote('0:Res:29.1,126.0')] ).
cnf(571,plain,
subset(skc4,skf6(skf12(skc4,skc3))),
inference(obv,[status(thm),theory(equality)],[569]),
[iquote('0:Obv:569.0')] ).
cnf(573,plain,
( ~ subset(u,skf6(v))
| ~ closed_subset(skf6(v),skc3)
| ~ in(skf6(v),powerset(the_carrier(skc3)))
| in(skf6(v),v)
| in(skf6(v),skf12(u,skc3)) ),
inference(res,[status(thm),theory(equality)],[49,69]),
[iquote('0:Res:49.1,69.2')] ).
cnf(578,plain,
( ~ subset(u,skf6(v))
| in(skf6(v),v)
| in(skf6(v),skf12(u,skc3)) ),
inference(mrr,[status(thm)],[573,28,48]),
[iquote('0:MRR:573.1,573.2,28.1,48.1')] ).
cnf(610,plain,
( element(skf6(skf12(skc4,skc3)),powerset(the_carrier(skc3)))
| element(skf6(skf12(skc4,skc3)),powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[49,128]),
[iquote('0:Res:49.0,128.0')] ).
cnf(613,plain,
element(skf6(skf12(skc4,skc3)),powerset(the_carrier(skc3))),
inference(obv,[status(thm),theory(equality)],[610]),
[iquote('0:Obv:610.0')] ).
cnf(614,plain,
( ~ subset(skc4,skf6(skf12(skc4,skc3)))
| ~ in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3))
| ~ closed_subset(skf6(skf12(skc4,skc3)),skc3)
| ~ in(skf6(skf12(skc4,skc3)),powerset(the_carrier(skc3))) ),
inference(res,[status(thm),theory(equality)],[613,72]),
[iquote('0:Res:613.0,72.3')] ).
cnf(649,plain,
~ in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3)),
inference(mrr,[status(thm)],[614,126,125,127]),
[iquote('0:MRR:614.0,614.2,614.3,126.1,125.1,127.1')] ).
cnf(773,plain,
( in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3))
| in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[571,578]),
[iquote('0:Res:571.0,578.0')] ).
cnf(775,plain,
in(skf6(skf12(skc4,skc3)),skf12(skc4,skc3)),
inference(obv,[status(thm),theory(equality)],[773]),
[iquote('0:Obv:773.0')] ).
cnf(776,plain,
$false,
inference(mrr,[status(thm)],[775,649]),
[iquote('0:MRR:775.0,649.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 06:08:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 627 clauses, backtracked 0 clauses, performed 0 splits and kept 401 clauses.
% 0.19/0.49 SPASS allocated 98041 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.02 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 3, length 38 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : s1_xboole_0__e1_40__pre_topc__1 s1_tarski__e1_40__pre_topc__1 rc2_subset_1
% 0.19/0.49
%------------------------------------------------------------------------------