TSTP Solution File: SEU320+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 14:36:13 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 9 unt; 1 nHn; 23 RR)
% Number of literals : 49 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
top_str(skc4),
file('SEU320+1.p',unknown),
[] ).
cnf(6,axiom,
element(skc5,powerset(the_carrier(skc4))),
file('SEU320+1.p',unknown),
[] ).
cnf(10,axiom,
( open_subset(skc5,skc4)
| closed_subset(subset_complement(the_carrier(skc4),skc5),skc4) ),
file('SEU320+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ open_subset(skc5,skc4)
| ~ closed_subset(subset_complement(the_carrier(skc4),skc5),skc4) ),
file('SEU320+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ element(u,powerset(v))
| element(subset_complement(v,u),powerset(v)) ),
file('SEU320+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ element(u,powerset(v))
| equal(subset_complement(v,subset_complement(v,u)),u) ),
file('SEU320+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ top_str(u)
| ~ closed_subset(v,u)
| ~ element(v,powerset(the_carrier(u)))
| open_subset(subset_complement(the_carrier(u),v),u) ),
file('SEU320+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ top_str(u)
| ~ element(v,powerset(the_carrier(u)))
| ~ open_subset(subset_complement(the_carrier(u),v),u)
| closed_subset(v,u) ),
file('SEU320+1.p',unknown),
[] ).
cnf(16,plain,
( ~ closed_subset(u,skc4)
| ~ element(u,powerset(the_carrier(skc4)))
| open_subset(subset_complement(the_carrier(skc4),u),skc4) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(17,plain,
( ~ element(u,powerset(the_carrier(skc4)))
| ~ open_subset(subset_complement(the_carrier(skc4),u),skc4)
| closed_subset(u,skc4) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(32,plain,
open_subset(skc5,skc4),
inference(spt,[spt(split,[position(s1)])],[10]),
[iquote('1:Spt:10.0')] ).
cnf(33,plain,
~ closed_subset(subset_complement(the_carrier(skc4),skc5),skc4),
inference(mrr,[status(thm)],[11,32]),
[iquote('1:MRR:11.0,32.0')] ).
cnf(40,plain,
( ~ element(u,powerset(the_carrier(skc4)))
| ~ closed_subset(subset_complement(the_carrier(skc4),u),skc4)
| ~ element(subset_complement(the_carrier(skc4),u),powerset(the_carrier(skc4)))
| open_subset(u,skc4) ),
inference(spr,[status(thm),theory(equality)],[13,16]),
[iquote('0:SpR:13.1,16.2')] ).
cnf(42,plain,
( ~ element(u,powerset(the_carrier(skc4)))
| ~ closed_subset(subset_complement(the_carrier(skc4),u),skc4)
| open_subset(u,skc4) ),
inference(mrr,[status(thm)],[40,12]),
[iquote('0:MRR:40.2,12.1')] ).
cnf(43,plain,
( ~ element(u,powerset(the_carrier(skc4)))
| ~ element(subset_complement(the_carrier(skc4),u),powerset(the_carrier(skc4)))
| ~ open_subset(u,skc4)
| closed_subset(subset_complement(the_carrier(skc4),u),skc4) ),
inference(spl,[status(thm),theory(equality)],[13,17]),
[iquote('0:SpL:13.1,17.1')] ).
cnf(46,plain,
( ~ element(u,powerset(the_carrier(skc4)))
| ~ open_subset(u,skc4)
| closed_subset(subset_complement(the_carrier(skc4),u),skc4) ),
inference(mrr,[status(thm)],[43,12]),
[iquote('0:MRR:43.1,12.1')] ).
cnf(53,plain,
( ~ element(skc5,powerset(the_carrier(skc4)))
| ~ open_subset(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[46,33]),
[iquote('1:Res:46.2,33.0')] ).
cnf(55,plain,
$false,
inference(mrr,[status(thm)],[53,6,32]),
[iquote('1:MRR:53.0,53.1,6.0,32.0')] ).
cnf(56,plain,
~ open_subset(skc5,skc4),
inference(spt,[spt(split,[position(sa)])],[55,32]),
[iquote('1:Spt:55.0,10.0,32.0')] ).
cnf(57,plain,
closed_subset(subset_complement(the_carrier(skc4),skc5),skc4),
inference(spt,[spt(split,[position(s2)])],[10]),
[iquote('1:Spt:55.0,10.1')] ).
cnf(58,plain,
( ~ element(skc5,powerset(the_carrier(skc4)))
| open_subset(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[57,42]),
[iquote('1:Res:57.0,42.1')] ).
cnf(59,plain,
open_subset(skc5,skc4),
inference(mrr,[status(thm)],[58,6]),
[iquote('1:MRR:58.0,6.0')] ).
cnf(60,plain,
$false,
inference(mrr,[status(thm)],[59,56]),
[iquote('1:MRR:59.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 11:20:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.44
% 0.21/0.44 SPASS V 3.9
% 0.21/0.44 SPASS beiseite: Proof found.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44 SPASS derived 34 clauses, backtracked 3 clauses, performed 1 splits and kept 34 clauses.
% 0.21/0.44 SPASS allocated 97633 KBytes.
% 0.21/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.44 0:00:00.03 for the input.
% 0.21/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.44 0:00:00.00 for inferences.
% 0.21/0.44 0:00:00.00 for the backtracking.
% 0.21/0.44 0:00:00.00 for the reduction.
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 Here is a proof with depth 3, length 23 :
% 0.21/0.44 % SZS output start Refutation
% See solution above
% 0.21/0.44 Formulae used in the proof : t30_tops_1 dt_k3_subset_1 involutiveness_k3_subset_1 t29_tops_1
% 0.21/0.44
%------------------------------------------------------------------------------