TSTP Solution File: SEU161+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:34:32 EDT 2022
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
in(skc4,skc5),
file('SEU161+2.p',unknown),
[] ).
cnf(23,axiom,
~ equal(set_union2(singleton(skc4),skc5),skc5),
file('SEU161+2.p',unknown),
[] ).
cnf(25,axiom,
equal(set_union2(u,v),set_union2(v,u)),
file('SEU161+2.p',unknown),
[] ).
cnf(76,axiom,
( ~ in(u,v)
| equal(set_union2(singleton(u),v),v) ),
file('SEU161+2.p',unknown),
[] ).
cnf(147,plain,
~ equal(set_union2(skc5,singleton(skc4)),skc5),
inference(rew,[status(thm),theory(equality)],[25,23]),
[iquote('0:Rew:25.0,23.0')] ).
cnf(172,plain,
equal(set_union2(singleton(skc4),skc5),skc5),
inference(res,[status(thm),theory(equality)],[3,76]),
[iquote('0:Res:3.0,76.0')] ).
cnf(220,plain,
equal(set_union2(skc5,singleton(skc4)),skc5),
inference(rew,[status(thm),theory(equality)],[25,172]),
[iquote('0:Rew:25.0,172.0')] ).
cnf(221,plain,
$false,
inference(mrr,[status(thm)],[220,147]),
[iquote('0:MRR:220.0,147.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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 : Mon Jun 20 01:59:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/0.61
% 0.44/0.61 SPASS V 3.9
% 0.44/0.61 SPASS beiseite: Proof found.
% 0.44/0.61 % SZS status Theorem
% 0.44/0.61 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.61 SPASS derived 48 clauses, backtracked 0 clauses, performed 0 splits and kept 140 clauses.
% 0.44/0.61 SPASS allocated 100069 KBytes.
% 0.44/0.61 SPASS spent 0:00:00.26 on the problem.
% 0.44/0.61 0:00:00.04 for the input.
% 0.44/0.61 0:00:00.19 for the FLOTTER CNF translation.
% 0.44/0.61 0:00:00.00 for inferences.
% 0.44/0.61 0:00:00.00 for the backtracking.
% 0.44/0.61 0:00:00.01 for the reduction.
% 0.44/0.61
% 0.44/0.61
% 0.44/0.61 Here is a proof with depth 1, length 8 :
% 0.44/0.61 % SZS output start Refutation
% See solution above
% 0.44/0.61 Formulae used in the proof : t46_zfmisc_1 commutativity_k2_xboole_0 l23_zfmisc_1
% 0.44/0.61
%------------------------------------------------------------------------------