%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 14:34:34 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 2 nHn; 21 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 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(u,v)
| disjoint(singleton(u),v) ),
file('SEU162+3.p',unknown),
[] ).
cnf(4,axiom,
( ~ disjoint(u,v)
| disjoint(v,u) ),
file('SEU162+3.p',unknown),
[] ).
cnf(6,axiom,
( ~ in(u,v)
| ~ disjoint(singleton(u),v) ),
file('SEU162+3.p',unknown),
[] ).
cnf(7,axiom,
( ~ disjoint(u,v)
| equal(set_difference(u,v),u) ),
file('SEU162+3.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(set_difference(u,v),u)
| disjoint(u,v) ),
file('SEU162+3.p',unknown),
[] ).
cnf(9,axiom,
( ~ in(skc5,skc4)
| equal(set_difference(skc4,singleton(skc5)),skc4) ),
file('SEU162+3.p',unknown),
[] ).
cnf(10,axiom,
( ~ equal(set_difference(skc4,singleton(skc5)),skc4)
| in(skc5,skc4) ),
file('SEU162+3.p',unknown),
[] ).
cnf(11,plain,
( in(u,v)
| disjoint(v,singleton(u)) ),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.1,4.0')] ).
cnf(17,plain,
~ in(skc5,skc4),
inference(spt,[spt(split,[position(s1)])],[9]),
[iquote('1:Spt:9.0')] ).
cnf(18,plain,
~ equal(set_difference(skc4,singleton(skc5)),skc4),
inference(mrr,[status(thm)],[10,17]),
[iquote('1:MRR:10.1,17.0')] ).
cnf(19,plain,
( ~ disjoint(skc4,singleton(skc5))
| ~ equal(skc4,skc4) ),
inference(spl,[status(thm),theory(equality)],[7,18]),
[iquote('1:SpL:7.1,18.0')] ).
cnf(20,plain,
~ disjoint(skc4,singleton(skc5)),
inference(obv,[status(thm),theory(equality)],[19]),
[iquote('1:Obv:19.1')] ).
cnf(21,plain,
in(skc5,skc4),
inference(res,[status(thm),theory(equality)],[11,20]),
[iquote('1:Res:11.1,20.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[21,17]),
[iquote('1:MRR:21.0,17.0')] ).
cnf(23,plain,
in(skc5,skc4),
inference(spt,[spt(split,[position(sa)])],[22,17]),
[iquote('1:Spt:22.0,9.0,17.0')] ).
cnf(24,plain,
equal(set_difference(skc4,singleton(skc5)),skc4),
inference(spt,[spt(split,[position(s2)])],[9]),
[iquote('1:Spt:22.0,9.1')] ).
cnf(27,plain,
( ~ equal(skc4,skc4)
| disjoint(skc4,singleton(skc5)) ),
inference(spl,[status(thm),theory(equality)],[24,8]),
[iquote('1:SpL:24.0,8.0')] ).
cnf(28,plain,
disjoint(skc4,singleton(skc5)),
inference(obv,[status(thm),theory(equality)],[27]),
[iquote('1:Obv:27.0')] ).
cnf(30,plain,
disjoint(singleton(skc5),skc4),
inference(res,[status(thm),theory(equality)],[28,4]),
[iquote('1:Res:28.0,4.0')] ).
cnf(31,plain,
~ in(skc5,skc4),
inference(res,[status(thm),theory(equality)],[30,6]),
[iquote('1:Res:30.0,6.1')] ).
cnf(33,plain,
$false,
inference(mrr,[status(thm)],[31,23]),
[iquote('1:MRR:31.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 15:04:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 17 clauses, backtracked 3 clauses, performed 1 splits and kept 22 clauses.
% 0.19/0.45 SPASS allocated 85072 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 4, length 21 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : l28_zfmisc_1 symmetry_r1_xboole_0 l25_zfmisc_1 t83_xboole_1 t65_zfmisc_1
% 0.19/0.45
%------------------------------------------------------------------------------