TSTP Solution File: SET118-7 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET118-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 05:24:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(73,axiom,
member(x__dfg,cross_product(universal_class,universal_class)),
file('SET118-7.p',unknown),
[] ).
cnf(74,axiom,
~ member(x__dfg,universal_class),
file('SET118-7.p',unknown),
[] ).
cnf(75,axiom,
( ~ member(u,v)
| ~ subclass(v,w)
| member(u,w) ),
file('SET118-7.p',unknown),
[] ).
cnf(78,axiom,
subclass(u,universal_class),
file('SET118-7.p',unknown),
[] ).
cnf(192,plain,
( ~ subclass(u,universal_class)
| ~ member(x__dfg,u) ),
inference(res,[status(thm),theory(equality)],[75,74]),
[iquote('0:Res:75.2,74.0')] ).
cnf(208,plain,
~ member(x__dfg,u),
inference(mrr,[status(thm)],[192,78]),
[iquote('0:MRR:192.0,78.0')] ).
cnf(209,plain,
$false,
inference(unc,[status(thm)],[208,73]),
[iquote('0:UnC:208.0,73.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET118-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.06/0.13 % 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 : Sat Jul 9 23:24:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 24 clauses, backtracked 0 clauses, performed 0 splits and kept 169 clauses.
% 0.18/0.43 SPASS allocated 75839 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.43 0:00:00.04 for the input.
% 0.18/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.01 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 1, length 7 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : prove_corollary_2_to_ordered_pairs_are_sets_1 prove_corollary_2_to_ordered_pairs_are_sets_2 subclass_members class_elements_are_sets
% 0.18/0.43
%------------------------------------------------------------------------------