%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET056-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 05:23:14 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 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(1,axiom,
~ equal(y__dfg,x__dfg),
file('SET056-6.p',unknown),
[] ).
cnf(2,axiom,
~ member(not_subclass_element(x__dfg,y__dfg),x__dfg),
file('SET056-6.p',unknown),
[] ).
cnf(3,axiom,
~ member(not_subclass_element(y__dfg,x__dfg),y__dfg),
file('SET056-6.p',unknown),
[] ).
cnf(5,axiom,
( subclass(u,v)
| member(not_subclass_element(u,v),u) ),
file('SET056-6.p',unknown),
[] ).
cnf(10,axiom,
( ~ subclass(u,v)
| ~ subclass(v,u)
| equal(v,u) ),
file('SET056-6.p',unknown),
[] ).
cnf(98,plain,
( ~ subclass(y__dfg,x__dfg)
| ~ subclass(x__dfg,y__dfg) ),
inference(res,[status(thm),theory(equality)],[10,1]),
[iquote('0:Res:10.2,1.0')] ).
cnf(103,plain,
subclass(y__dfg,x__dfg),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.0,3.0')] ).
cnf(111,plain,
subclass(x__dfg,y__dfg),
inference(res,[status(thm),theory(equality)],[5,2]),
[iquote('0:Res:5.0,2.0')] ).
cnf(119,plain,
$false,
inference(mrr,[status(thm)],[98,103,111]),
[iquote('0:MRR:98.0,98.1,103.0,111.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET056-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 21:17:42 EDT 2022
% 0.14/0.35 % 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 16 clauses, backtracked 0 clauses, performed 0 splits and kept 96 clauses.
% 0.21/0.44 SPASS allocated 75748 KBytes.
% 0.21/0.44 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.44 0:00:00.04 for the input.
% 0.21/0.44 0:00:00.00 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 0:00:00.01 for the reduction.
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 Here is a proof with depth 1, length 9 :
% 0.21/0.44 % SZS output start Refutation
% See solution above
% 0.21/0.44 Formulae used in the proof : prove_equality1_1 prove_equality1_2 prove_equality1_3 not_subclass_members1 subclass_implies_equal
% 0.21/0.44
%------------------------------------------------------------------------------