%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 05:29:39 EDT 2022
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 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(2,axiom,
subset(skc5,skc7),
file('SET899+1.p',unknown),
[] ).
cnf(5,axiom,
~ in(skc6,skc5),
file('SET899+1.p',unknown),
[] ).
cnf(6,axiom,
~ subset(skc5,set_difference(skc7,singleton(skc6))),
file('SET899+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ subset(u,v)
| in(w,u)
| subset(u,set_difference(v,singleton(w))) ),
file('SET899+1.p',unknown),
[] ).
cnf(11,plain,
( ~ subset(skc5,skc7)
| in(skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[8,6]),
[iquote('0:Res:8.1,6.0')] ).
cnf(12,plain,
$false,
inference(mrr,[status(thm)],[11,2,5]),
[iquote('0:MRR:11.0,11.1,2.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jul 9 23:50:56 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.46
% 0.23/0.46 SPASS V 3.9
% 0.23/0.46 SPASS beiseite: Proof found.
% 0.23/0.46 % SZS status Theorem
% 0.23/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.46 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.23/0.46 SPASS allocated 85069 KBytes.
% 0.23/0.46 SPASS spent 0:00:00.08 on the problem.
% 0.23/0.46 0:00:00.03 for the input.
% 0.23/0.46 0:00:00.02 for the FLOTTER CNF translation.
% 0.23/0.46 0:00:00.00 for inferences.
% 0.23/0.46 0:00:00.00 for the backtracking.
% 0.23/0.46 0:00:00.00 for the reduction.
% 0.23/0.46
% 0.23/0.46
% 0.23/0.46 Here is a proof with depth 1, length 6 :
% 0.23/0.46 % SZS output start Refutation
% See solution above
% 0.23/0.46 Formulae used in the proof : t40_zfmisc_1 l3_zfmisc_1
% 0.23/0.46
%------------------------------------------------------------------------------