TSTP Solution File: SET193-6 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:24:54 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 6 unt; 2 nHn; 16 RR)
% Number of literals : 30 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subclass(complement(y__dfg),complement(x__dfg)),
file('SET193-6.p',unknown),
[] ).
cnf(2,axiom,
~ subclass(x__dfg,y__dfg),
file('SET193-6.p',unknown),
[] ).
cnf(3,axiom,
( ~ member(u,v)
| ~ subclass(v,w)
| member(u,w) ),
file('SET193-6.p',unknown),
[] ).
cnf(4,axiom,
( subclass(u,v)
| member(not_subclass_element(u,v),u) ),
file('SET193-6.p',unknown),
[] ).
cnf(5,axiom,
( ~ member(not_subclass_element(u,v),v)
| subclass(u,v) ),
file('SET193-6.p',unknown),
[] ).
cnf(6,axiom,
subclass(u,universal_class),
file('SET193-6.p',unknown),
[] ).
cnf(26,axiom,
( ~ member(u,v)
| ~ member(u,complement(v)) ),
file('SET193-6.p',unknown),
[] ).
cnf(27,axiom,
( ~ member(u,universal_class)
| member(u,v)
| member(u,complement(v)) ),
file('SET193-6.p',unknown),
[] ).
cnf(117,plain,
~ member(not_subclass_element(x__dfg,y__dfg),y__dfg),
inference(res,[status(thm),theory(equality)],[5,2]),
[iquote('0:Res:5.1,2.0')] ).
cnf(118,plain,
member(not_subclass_element(x__dfg,y__dfg),x__dfg),
inference(res,[status(thm),theory(equality)],[4,2]),
[iquote('0:Res:4.1,2.0')] ).
cnf(120,plain,
( ~ member(u,complement(y__dfg))
| member(u,complement(x__dfg)) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(158,plain,
( ~ member(u,complement(y__dfg))
| ~ member(u,x__dfg) ),
inference(res,[status(thm),theory(equality)],[120,26]),
[iquote('0:Res:120.1,26.1')] ).
cnf(301,plain,
( ~ member(u,universal_class)
| ~ member(u,x__dfg)
| member(u,y__dfg) ),
inference(res,[status(thm),theory(equality)],[27,158]),
[iquote('0:Res:27.2,158.0')] ).
cnf(354,plain,
( ~ subclass(x__dfg,u)
| member(not_subclass_element(x__dfg,y__dfg),u) ),
inference(res,[status(thm),theory(equality)],[118,3]),
[iquote('0:Res:118.0,3.0')] ).
cnf(458,plain,
( ~ subclass(x__dfg,universal_class)
| ~ member(not_subclass_element(x__dfg,y__dfg),x__dfg)
| member(not_subclass_element(x__dfg,y__dfg),y__dfg) ),
inference(res,[status(thm),theory(equality)],[354,301]),
[iquote('0:Res:354.1,301.0')] ).
cnf(472,plain,
$false,
inference(mrr,[status(thm)],[458,6,118,117]),
[iquote('0:MRR:458.0,458.1,458.2,6.0,118.0,117.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET193-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 : Sun Jul 10 07:01:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 328 clauses, backtracked 0 clauses, performed 1 splits and kept 371 clauses.
% 0.20/0.50 SPASS allocated 76199 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.07 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 4, length 16 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : prove_subclass_property10_1 prove_subclass_property10_2 subclass_members not_subclass_members1 not_subclass_members2 class_elements_are_sets complement1 complement2
% 0.20/0.50
%------------------------------------------------------------------------------