%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET064-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:23:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 2 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 3 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( equal(u,v)
| member(not_subclass_element(v,u),v)
| member(not_subclass_element(u,v),u) ),
file('SET064-7.p',unknown),
[] ).
cnf(12,axiom,
~ member(u,null_class),
file('SET064-7.p',unknown),
[] ).
cnf(15,axiom,
~ equal(z__dfg,null_class),
file('SET064-7.p',unknown),
[] ).
cnf(16,axiom,
~ member(not_subclass_element(z__dfg,null_class),z__dfg),
file('SET064-7.p',unknown),
[] ).
cnf(131,plain,
( equal(z__dfg,null_class)
| member(not_subclass_element(null_class,z__dfg),null_class) ),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.1,16.0')] ).
cnf(137,plain,
$false,
inference(mrr,[status(thm)],[131,15,12]),
[iquote('0:MRR:131.0,131.1,15.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET064-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % 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 : Sun Jul 10 03:14:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 24 clauses, backtracked 0 clauses, performed 0 splits and kept 109 clauses.
% 0.19/0.42 SPASS allocated 75763 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 1, length 6 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : equality1 existence_of_null_class prove_null_class_is_unique_1 prove_null_class_is_unique_2
% 0.19/0.42
%------------------------------------------------------------------------------