%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET192-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 1.93s 2.12s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 5 unt; 8 nHn; 19 RR)
% Number of literals : 40 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 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(x__dfg,y__dfg),
file('SET192-6.p',unknown),
[] ).
cnf(2,axiom,
~ subclass(complement(y__dfg),complement(x__dfg)),
file('SET192-6.p',unknown),
[] ).
cnf(3,axiom,
( ~ member(u,v)
| ~ subclass(v,w)
| member(u,w) ),
file('SET192-6.p',unknown),
[] ).
cnf(4,axiom,
( subclass(u,v)
| member(not_subclass_element(u,v),u) ),
file('SET192-6.p',unknown),
[] ).
cnf(5,axiom,
( ~ member(not_subclass_element(u,v),v)
| subclass(u,v) ),
file('SET192-6.p',unknown),
[] ).
cnf(6,axiom,
subclass(u,universal_class),
file('SET192-6.p',unknown),
[] ).
cnf(26,axiom,
( ~ member(u,v)
| ~ member(u,complement(v)) ),
file('SET192-6.p',unknown),
[] ).
cnf(27,axiom,
( ~ member(u,universal_class)
| member(u,v)
| member(u,complement(v)) ),
file('SET192-6.p',unknown),
[] ).
cnf(117,plain,
( ~ member(u,x__dfg)
| member(u,y__dfg) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(158,plain,
( ~ member(not_subclass_element(complement(u),v),u)
| subclass(complement(u),v) ),
inference(res,[status(thm),theory(equality)],[4,26]),
[iquote('0:Res:4.1,26.1')] ).
cnf(273,plain,
( ~ member(not_subclass_element(u,complement(v)),universal_class)
| member(not_subclass_element(u,complement(v)),v)
| subclass(u,complement(v)) ),
inference(res,[status(thm),theory(equality)],[27,5]),
[iquote('0:Res:27.2,5.0')] ).
cnf(359,plain,
( ~ subclass(u,v)
| subclass(u,w)
| member(not_subclass_element(u,w),v) ),
inference(res,[status(thm),theory(equality)],[4,3]),
[iquote('0:Res:4.1,3.0')] ).
cnf(2307,plain,
( ~ member(not_subclass_element(complement(y__dfg),u),x__dfg)
| subclass(complement(y__dfg),u) ),
inference(res,[status(thm),theory(equality)],[117,158]),
[iquote('0:Res:117.1,158.0')] ).
cnf(7508,plain,
( ~ subclass(u,universal_class)
| subclass(u,complement(v))
| member(not_subclass_element(u,complement(v)),v)
| subclass(u,complement(v)) ),
inference(res,[status(thm),theory(equality)],[359,273]),
[iquote('0:Res:359.2,273.0')] ).
cnf(7512,plain,
( ~ subclass(u,universal_class)
| member(not_subclass_element(u,complement(v)),v)
| subclass(u,complement(v)) ),
inference(obv,[status(thm),theory(equality)],[7508]),
[iquote('0:Obv:7508.1')] ).
cnf(7513,plain,
( member(not_subclass_element(u,complement(v)),v)
| subclass(u,complement(v)) ),
inference(mrr,[status(thm)],[7512,6]),
[iquote('0:MRR:7512.0,6.0')] ).
cnf(7558,plain,
( subclass(complement(y__dfg),complement(x__dfg))
| subclass(complement(y__dfg),complement(x__dfg)) ),
inference(res,[status(thm),theory(equality)],[7513,2307]),
[iquote('0:Res:7513.0,2307.0')] ).
cnf(7564,plain,
subclass(complement(y__dfg),complement(x__dfg)),
inference(obv,[status(thm),theory(equality)],[7558]),
[iquote('0:Obv:7558.0')] ).
cnf(7565,plain,
$false,
inference(mrr,[status(thm)],[7564,2]),
[iquote('0:MRR:7564.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET192-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 04:44:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.93/2.12
% 1.93/2.12 SPASS V 3.9
% 1.93/2.12 SPASS beiseite: Proof found.
% 1.93/2.12 % SZS status Theorem
% 1.93/2.12 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.93/2.12 SPASS derived 6539 clauses, backtracked 226 clauses, performed 4 splits and kept 3494 clauses.
% 1.93/2.12 SPASS allocated 82857 KBytes.
% 1.93/2.12 SPASS spent 0:00:01.72 on the problem.
% 1.93/2.12 0:00:00.04 for the input.
% 1.93/2.12 0:00:00.00 for the FLOTTER CNF translation.
% 1.93/2.12 0:00:00.09 for inferences.
% 1.93/2.12 0:00:00.07 for the backtracking.
% 1.93/2.12 0:00:01.46 for the reduction.
% 1.93/2.12
% 1.93/2.12
% 1.93/2.12 Here is a proof with depth 3, length 19 :
% 1.93/2.12 % SZS output start Refutation
% See solution above
% 1.93/2.12 Formulae used in the proof : prove_subclass_property9_1 prove_subclass_property9_2 subclass_members not_subclass_members1 not_subclass_members2 class_elements_are_sets complement1 complement2
% 1.93/2.12
%------------------------------------------------------------------------------